Module 6 Quiz

Question 1 1

/ 1 point

State the null hypothesis.

A local retailer currently schedules employees based on the

assumption that they serve customers uniformly throughout the week (the same

number each day). Management is starting

to question this assumption and decides to collect data on the number of

customers served each day of the week in order to perform a Chi-Square

goodness-of-fit test at a 5% significance level.

Monday Tuesday Wednesday Thursday Friday Total

Number Served

40 33 35 32 60 200

State the null hypothesis.

Customers are distributed evenly throughout the week.

Customers are not distributed evenly throughout the week.

Question 2 1

/ 1 point

State the alternative hypothesis.

A local retailer currently schedules employees based on the

assumption that they serve customers uniformly throughout the week (the same

number each day). Management is starting

to question this assumption and decides to collect data on the number of

customers served each day of the week in order to perform a Chi-Square

goodness-of-fit test at a 5% significance level.

Monday Tuesday Wednesday Thursday Friday Total

Number Served

40 33 35 32 60 200

State the alternative hypothesis.

Customers are distributed evenly throughout the week.

Customers are not distributed evenly throughout the week.

Question 3 1

/ 1 point

Determine the degrees of freedom.

A local retailer currently schedules employees based on the

assumption that they serve customers uniformly throughout the week (the same

number each day). Management is starting

to question this assumption and decides to collect data on the number of customers

served each day of the week in order to perform a Chi-Square goodness-of-fit

test at a 5% significance level.

Monday Tuesday Wednesday Thursday Friday Total

Number Served

40 33 35 32 60 200

Assume the assumptions of the test are satisfied and determine

how many degrees of freedom the ?2

test statistic will

have.

1

2

3

4

5

Question 4 1

/ 1 point

Determine the critical value.

A local retailer currently schedules employees based on the

assumption that they serve customers uniformly throughout the week (the same

number each day). Management is starting

to question this assumption and decides to collect data on the number of

customers served each day of the week in order to perform a Chi-Square

goodness-of-fit test at a 5% significance level.

Monday Tuesday Wednesday Thursday Friday Total

Number Served

40 33 35 32 60 200

Assume the assumptions of the test are satisfied and

determine the critical value for the test.

12.59

7.81

5.99

3.84

9.49

Question 5 1

/ 1 point

Determine the expected count under the null hypothesis.

A local retailer currently schedules employees based on the

assumption that they serve customers uniformly throughout the week (the same

number each day). Management is starting

to question this assumption and decides to collect data on the number of

customers served each day of the week in order to perform a Chi-Square

goodness-of-fit test at a 5% significance level.

Monday Tuesday Wednesday Thursday Friday Total

Number Served

40 33 35 32 60 200

Assume the assumptions of the test are satisfied and

determine the expected number of customers served each day under the null

hypothesis.

20

25

30

40

50

Question 6 1

/ 1 point

Calculate the test statistic ?2

.

A local retailer currently schedules employees based on the

assumption that they serve customers uniformly throughout the week (the same

number each day). Management is starting

to question this assumption and decides to collect data on the number of customers

served each day of the week in order to perform a Chi-Square goodness-of-fit

test at a 5% significance level.

Monday Tuesday Wednesday Thursday Friday Total

Number Served

40 33 35 32 60 200

Assume the assumptions of the test are satisfied and

calculate the test statistic ?2

.

6.67

9.24

10.31

13.45

15.86

Question 7 1

/ 1 point

State your decision regarding the null hypothesis.

A local retailer currently schedules employees based on the

assumption that they serve customers uniformly throughout the week (the same

number each day). Management is starting

to question this assumption and decides to collect data on the number of

customers served each day of the week in order to perform a Chi-Square

goodness-of-fit test at a 5% significance level.

Monday Tuesday Wednesday Thursday Friday Total

Number Served

40 33 35 32 60 200

Assume the assumptions of the test are satisfied and state

your decision regarding the null hypothesis.

Note: the p-value =

0.01

Reject the null hypothesis.

Do not reject the null hypothesis.

Question 8 1

/ 1 point

State your conclusion to the hypothesis test.

A local retailer currently schedules employees based on the

assumption that they serve customers uniformly throughout the week (the same

number each day). Management is starting

to question this assumption and decides to collect data on the number of customers

served each day of the week in order to perform a Chi-Square goodness-of-fit

test at a 5% significance level.

Monday Tuesday Wednesday Thursday Friday Total

Number Served

40 33 35 32 60 200

Assume the assumptions of the test are satisfied and state

your conclusion to the test.

Note: the p-value =

0.01

Cannot be determined.

The data suggests that customers are distributed evenly

throughout the week.

The data suggests that customers are not distributed evenly

throughout the week.

Question 9 1

/ 1 point

State the null hypothesis.

A sociologist was interested in determining if there was a

relationship between the age of a young adult (18 to 35 years old) and the type

of movie preferred. A random sample of 93 adults revealed the following data.

Use a Chi-Square independence test to determine if age and type of movie

preferred are independent at the 5% level of significance.

18-23

years old 24-29 years old 30-35 years old Totals

Drama 8 15 11 34

Science Fiction 12 10 8 30

Comedy 9 8 12 29

Totals 29 33 31 93

State the Null Hypothesis.

Age and type of movie preferred are not independent.

Age and type of movie preferred are independent.

Age and type of movie preferred are not the same.

Age and type of movie preferred are related.

Cannot be determined.

Question 10 1

/ 1 point

State the alternative hypothesis.

A sociologist was interested in determining if there was a

relationship between the age of a young adult (18 to 35 years old) and the type

of movie preferred. A random sample of 93 adults revealed the following data.

Use a Chi-Square independence test to determine if age and type of movie

preferred are independent at the 5% level of significance.

18-23

years old 24-29 years old 30-35 years old Totals

Drama 8 15 11 34

Science Fiction 12 10 8 30

Comedy 9 8 12 29

Totals 29 33 31 93

State the alternative hypothesis.

Age and type of movie preferred are dependent.

Age and type of movie preferred are independent.

Age and type of movie preferred are not related.

Age and type of movie preferred are superior.

Cannot be determined.

Question 11 1

/ 1 point

Determine the degrees of freedom.

A sociologist was interested in determining if there was a

relationship between the age of a young adult (18 to 35 years old) and the type

of movie preferred. A random sample of 93 adults revealed the following data.

Use a Chi-Square independence test to determine if age and type of movie

preferred are independent at the 5% level of significance.

18-23 years old

24-29 years old

30-35 years old

Totals

Drama

8

15

11

34

Science Fiction

12

10

8

30

Comedy

9

8

12

29

Totals

29

33

31

93

Assume the assumptions of the test are satisfied and

determine how many degrees of freedom the

?2

test statistic will

have.

1

2

4

9

Question 12 1

/ 1 point

Determine the critical value.

A sociologist was interested in determining if there was a

relationship between the age of a young adult (18 to 35 years old) and the type

of movie preferred. A random sample of 93 adults revealed the following data.

Use a Chi-Square independence test to determine if age and type of movie

preferred are independent at the 5% level of significance.

18-23 years old

24-29 years old

30-35 years old

Totals

Drama

8

15

11

34

Science Fiction

12

10

8

30

Comedy

9

8

12

29

Totals

29

33

31

93

Assume the assumptions of the test are satisfied and

determine the critical value for the test.

14.86

5.991

9.488

16.919

Question 13 1

/ 1 point

Find the expected count under the null hypothesis.

A sociologist was interested in determining if there was a

relationship between the age of a young adult (18 to 35 years old) and the type

of movie preferred. A random sample of 93 adults revealed the following data.

Use a Chi-Square independence test to determine if age and type of movie

preferred are independent at the 5% level of significance.

18-23 years old

24-29 years old

30-35 years old

Totals

Drama

8

15

11

34

Science Fiction

12

10

8

30

Comedy

9

8

12

29

Totals

29

33

31

93

Assume the assumptions of the test are satisfied and find

the expected number of 24-29 year-olds who prefer comedies under the null

hypothesis.

8

11.56

10.29

7.34

Question 14 1

/ 1 point

Find the test statistic ?2

.

A sociologist was interested in determining if there was a

relationship between the age of a young adult (18 to 35 years old) and the type

of movie preferred. A random sample of 93 adults revealed the following data.

Use a Chi-Square independence test to determine if age and type of movie

preferred are independent at the 5% level of significance.

18-23 years old

24-29 years old

30-35 years old

Totals

Drama

8

15

11

34

Science Fiction

12

10

8

30

Comedy

9

8

12

29

Totals

29

33

31

93

Assume the assumptions of the test are satisfied and find

the test statistic ?2

.

1.444

12.234

3.623

2.944

Cannot be determined.

Question 15 1

/ 1 point

State your decision regarding the null hypothesis.

A sociologist was interested in determining if there was a

relationship between the age of a young adult (18 to 35 years old) and the type

of movie preferred. A random sample of 93 adults revealed the following data.

Use a Chi-Square independence test to determine if age and type of movie

preferred are independent at the 5% level of significance.

18-23 years old

24-29 years old

30-35 years old

Totals

Drama

8

15

11

34

Science Fiction

12

10

8

30

Comedy

9

8

12

29

Totals

29

33

31

93

Assume the assumptions of the test are satisfied and state

your decision regarding the null hypothesis.

Note: the p-value =

0.4594

Do not reject the null hypothesis.

Reject the null hypothesis.

Question 16 1

/ 1 point

State your conclusion to the hypothesis test.

A sociologist was interested in determining if there was a

relationship between the age of a young adult (18 to 35 years old) and the type

of movie preferred. A random sample of 93 adults revealed the following data.

Use a Chi-Square independence test to determine if age and type of movie

preferred are independent at the 5% level of significance.

18-23 years old

24-29 years old

30-35 years old

Totals

Drama

8

15

11

34

Science Fiction

12

10

8

30

Comedy

9

8

12

29

Totals

29

33

31

93

Assume the assumptions of the test are satisfied and state

your conclusion to the test.

Note: the p-value =

0.4594

Cannot be determined.

The data suggests that age and type of movie preferred are

not independent.

The data does not suggest that age and type of movie

preferred are independent.

The data does not suggest that age and type of movie

preferred are dependent.

The data suggests that age and type of movie preferred are

dependent.

Question 17 1

/ 1 point

State the null and alternative hypotheses.

It has been rumored that the color distribution of M&Ms

is 30% brown, 20% yellow, 20% red, 10% orange, 10% blue, and 10% green. You are suspect of this rumor and decide to

count the number of each color contained in a randomly chosen bag to perform a

Chi-Square goodness-of-fit test at a 5% significance level.

Brown Yellow Red OrangeBlue Green Total

Number Observed

27 16 21 12 9 15 100

State the null and alternative hypotheses.

H0: pbrown=0.30

, pyellow=0.20 ,

pred=0.20 , porange=0.10

, pblue=0.10 ,

pgreen=0.10HA: At least one of the stated proportions is not correct.

H0: pbrown=0.30

, pyellow=0.20 ,

pred=0.20 , porange=0.10

, pblue=0.10 ,

pgreen=0.10HA: All of the stated proportions are not correct.

Question 18 1

/ 1 point

Determine the critical value.

It has been rumored that the color distribution of M&Ms

is 30% brown, 20% yellow, 20% red, 10% orange, 10% blue, and 10% green. You are suspect of this rumor and decide to

count the number of each color contained in a randomly chosen bag to perform a

Chi-Square goodness-of-fit test at a 5% significance level.

Brown Yellow Red OrangeBlue Green Total

Number Observed

27 16 21 12 9 15 100

Assume the assumptions of the test are satisfied and

determine the critical value for the test.

12.833

0.05

11.070

5.991

Question 19 1

/ 1 point

Determine the expected count under the null hypothesis.

It has been rumored that the color distribution of M&Ms

is 30% brown, 20% yellow, 20% red, 10% orange, 10% blue, and 10% green. You are suspect of this rumor and decide to

count the number of each color contained in a randomly chosen bag to perform a Chi-Square

goodness-of-fit test at a 5% significance level.

Brown Yellow Red OrangeBlue Green Total

Number Observed

27 16 21 12 9 15 100

Assume the assumptions of the test are satisfied and

determine the expected number of yellow M&M’s in the bag under the null

hypothesis.

5

10

20

30

Question 20 1

/ 1 point

Calculate the test statistic ?2

.

It has been rumored that the color distribution of M&Ms

is 30% brown, 20% yellow, 20% red, 10% orange, 10% blue, and 10% green. You are suspect of this rumor and decide to

count the number of each color contained in a randomly chosen bag to perform a

Chi-Square goodness-of-fit test at a 5% significance level.

Brown Yellow Red OrangeBlue Green Total

Number Observed

27 16 21 12 9 15 100

Assume the assumptions of the test are satisfied and

calculate the test statistic ?2

.

4.15

6.47

16.83

20.43

Question 21 0

/ 1 point

State your decision regarding the null hypothesis.

It has been rumored that the color distribution of M&Ms

is 30% brown, 20% yellow, 20% red, 10% orange, 10% blue, and 10% green. You are suspect of this rumor and decide to

count the number of each color contained in a randomly chosen bag to perform a

Chi-Square goodness-of-fit test at a 5% significance level.

Brown Yellow Red OrangeBlue Green Total

Number Observed

27 16 21 12 9 15 100

Assume the assumptions of the test are satisfied and state

your decision regarding the null hypothesis.

Reject the null hypothesis.

Do not reject the null hypothesis.

Question 22 1

/ 1 point

State the null and alternative hypotheses.

A study was conducted to determine if there is a

relationship between fan preference of instant replay use and the sport in

which it is applied. The category counts

of 102 fans are provided in the two-way table below. Use a Chi-Square independence test to

determine if fan preference of instant replay use and the sport in which it is

used are independent at the 5% level of significance.

Favor Oppose Totals

Football 19 5 24

Baseball 18 6 24

Basketball 15 26 41

Soccer 5 8 13

Totals 57 45 102

State the Null and Alternative Hypotheses.

H0:

Instant replay preference is independent of sport.HA: Instant replay preference

is dependent of sport.

H0:

Instant replay preference is dependent of sport.HA: Instant replay preference

is independent of sport.

Question 23 1

/ 1 point

Determine the critical value.

A study was conducted to determine if there is a

relationship between fan preference of instant replay use and the sport in

which it is applied. The category counts

of 102 fans are provided in the two-way table below. Use a Chi-Square independence test to

determine if fan preference of instant replay use and the sport in which it is

used are independent at the 5% level of significance.

Favor Oppose Totals

Football 19 5 24

Baseball 18 6 24

Basketball 15 26 41

Soccer 5 8 13

Totals 57 45 102

Assume the assumptions of the test are satisfied and

determine the critical value for the test.

15.507

7.815

5.991

3.841

9.488

Question 24 0

/ 1 point

Find the expected count under the null hypothesis.

A study was conducted to determine if there is a

relationship between fan preference of instant replay use and the sport in

which it is used. The category counts of

102 fans are provided in the two-way table below. Use a Chi-Square independence test to

determine if fan preference of instant replay use and the sport in which it is

applied are independent at the 5% level of significance.

Favor Oppose Totals

Football 19 5 24

Baseball 18 6 24

Basketball 15 26 41

Soccer 5 8 13

Totals 57 45 102

Assume the assumptions of the test are satisfied and find

the expected number who would oppose the use of instant replay in baseball

under the null hypothesis.

13.41

7.26

5.74

18.08

10.59

Question 25 0

/ 1 point

State your conclusion to the hypothesis test.

A study was conducted to determine if there is a

relationship between fan preference of instant replay use and the sport in

which it is used. The category counts of

102 fans are provided in the two-way table below. Use a Chi-Square independence test to

determine if fan preference of instant replay use and the sport in which it is

applied are independent at the 5% level of significance.

Favor Oppose Totals

Football 19 5 24

Baseball 18 6 24

Basketball 15 26 41

Soccer 5 8 13

Totals 57 45 102

Assume the assumptions of the test are satisfied and state

your conclusion to the test.

Note: the test

statistic is 16.629

Instant Replay Preference is independent of Sport.

Instant Replay Preference is dependent on Sport.

There is no relationship between Instant Replay Preference

and Sport.

The results do not provide enough information to come to any

conclusions.

________________________________________

Module 6 QuizQuestion 1 1

/ 1 point State the null hypothesis.A local retailer currently schedules employees based on the

assumption that they serve customers uniformly throughout the week (the same

number each day). Management is starting

to question this assumption and decides to collect data on the number of

customers served each day of the week in order to perform a Chi-Square

goodness-of-fit test at a 5% significance level. Monday Tuesday Wednesday Thursday Friday TotalNumber Served 40 33 35 32 60 200State the null hypothesis. Customers are distributed evenly throughout the week. Customers are not distributed evenly throughout the week.Question 2 1

/ 1 pointState the alternative hypothesis.A local retailer currently schedules employees based on the

assumption that they serve customers uniformly throughout the week (the same

number each day). Management is starting

to question this assumption and decides to collect data on the number of

customers served each day of the week in order to perform a Chi-Square

goodness-of-fit test at a 5% significance level. Monday Tuesday Wednesday Thursday Friday TotalNumber Served 40 33 35 32 60 200State the alternative hypothesis. Customers are distributed evenly throughout the week. Customers are not distributed evenly throughout the week.Question 3 1

/ 1 pointDetermine the degrees of freedom.A local retailer currently schedules employees based on the

assumption that they serve customers uniformly throughout the week (the same

number each day). Management is starting

to question this assumption and decides to collect data on the number of customers

served each day of the week in order to perform a Chi-Square goodness-of-fit

test at a 5% significance level. Monday Tuesday Wednesday Thursday Friday TotalNumber Served 40 33 35 32 60 200Assume the assumptions of the test are satisfied and determine

how many degrees of freedom the ?2 test statistic will

have. 1 2 3 4 5Question 4 1

/ 1 pointDetermine the critical value.A local retailer currently schedules employees based on the

assumption that they serve customers uniformly throughout the week (the same

number each day). Management is starting

to question this assumption and decides to collect data on the number of

customers served each day of the week in order to perform a Chi-Square

goodness-of-fit test at a 5% significance level. Monday Tuesday Wednesday Thursday Friday TotalNumber Served 40 33 35 32 60 200Assume the assumptions of the test are satisfied and

determine the critical value for the test. 12.59 7.81 5.99 3.84 9.49Question 5 1

/ 1 pointDetermine the expected count under the null hypothesis.A local retailer currently schedules employees based on the

assumption that they serve customers uniformly throughout the week (the same

number each day). Management is starting

to question this assumption and decides to collect data on the number of

customers served each day of the week in order to perform a Chi-Square

goodness-of-fit test at a 5% significance level. Monday Tuesday Wednesday Thursday Friday TotalNumber Served 40 33 35 32 60 200Assume the assumptions of the test are satisfied and

determine the expected number of customers served each day under the null

hypothesis. 20 25 30 40 50Question 6 1

/ 1 pointCalculate the test statistic ?2.A local retailer currently schedules employees based on the

assumption that they serve customers uniformly throughout the week (the same

number each day). Management is starting

to question this assumption and decides to collect data on the number of customers

served each day of the week in order to perform a Chi-Square goodness-of-fit

test at a 5% significance level. Monday Tuesday Wednesday Thursday Friday TotalNumber Served 40 33 35 32 60 200Assume the assumptions of the test are satisfied and

calculate the test statistic ?2. 6.67 9.24 10.31 13.45 15.86Question 7 1

/ 1 pointState your decision regarding the null hypothesis.A local retailer currently schedules employees based on the

assumption that they serve customers uniformly throughout the week (the same

number each day). Management is starting

to question this assumption and decides to collect data on the number of

customers served each day of the week in order to perform a Chi-Square

goodness-of-fit test at a 5% significance level. Monday Tuesday Wednesday Thursday Friday TotalNumber Served 40 33 35 32 60 200Assume the assumptions of the test are satisfied and state

your decision regarding the null hypothesis.Note: the p-value =

0.01 Reject the null hypothesis. Do not reject the null hypothesis.Question 8 1

/ 1 pointState your conclusion to the hypothesis test.A local retailer currently schedules employees based on the

assumption that they serve customers uniformly throughout the week (the same

number each day). Management is starting

to question this assumption and decides to collect data on the number of customers

served each day of the week in order to perform a Chi-Square goodness-of-fit

test at a 5% significance level. Monday Tuesday Wednesday Thursday Friday TotalNumber Served 40 33 35 32 60 200Assume the assumptions of the test are satisfied and state

your conclusion to the test.Note: the p-value =

0.01 Cannot be determined. The data suggests that customers are distributed evenly

throughout the week. The data suggests that customers are not distributed evenly

throughout the week.Question 9 1

/ 1 pointState the null hypothesis.A sociologist was interested in determining if there was a

relationship between the age of a young adult (18 to 35 years old) and the type

of movie preferred. A random sample of 93 adults revealed the following data.

Use a Chi-Square independence test to determine if age and type of movie

preferred are independent at the 5% level of significance. 18-23

years old 24-29 years old 30-35 years old TotalsDrama 8 15 11 34Science Fiction 12 10 8 30Comedy 9 8 12 29Totals 29 33 31 93State the Null Hypothesis. Age and type of movie preferred are not independent. Age and type of movie preferred are independent. Age and type of movie preferred are not the same. Age and type of movie preferred are related. Cannot be determined.Question 10 1

/ 1 pointState the alternative hypothesis.A sociologist was interested in determining if there was a

relationship between the age of a young adult (18 to 35 years old) and the type

of movie preferred. A random sample of 93 adults revealed the following data.

Use a Chi-Square independence test to determine if age and type of movie

preferred are independent at the 5% level of significance. 18-23

years old 24-29 years old 30-35 years old TotalsDrama 8 15 11 34Science Fiction 12 10 8 30Comedy 9 8 12 29Totals 29 33 31 93State the alternative hypothesis. Age and type of movie preferred are dependent. Age and type of movie preferred are independent. Age and type of movie preferred are not related. Age and type of movie preferred are superior. Cannot be determined.Question 11 1

/ 1 pointDetermine the degrees of freedom.A sociologist was interested in determining if there was a

relationship between the age of a young adult (18 to 35 years old) and the type

of movie preferred. A random sample of 93 adults revealed the following data.

Use a Chi-Square independence test to determine if age and type of movie

preferred are independent at the 5% level of significance. 18-23 years old 24-29 years old 30-35 years old TotalsDrama 8 15 11 34Science Fiction 12 10 8 30Comedy 9 8 12 29Totals 29 33 31 93Assume the assumptions of the test are satisfied and

determine how many degrees of freedom the

?2 test statistic will

have. 1 2 4 9Question 12 1

/ 1 pointDetermine the critical value.A sociologist was interested in determining if there was a

relationship between the age of a young adult (18 to 35 years old) and the type

of movie preferred. A random sample of 93 adults revealed the following data.

Use a Chi-Square independence test to determine if age and type of movie

preferred are independent at the 5% level of significance. 18-23 years old 24-29 years old 30-35 years old TotalsDrama 8 15 11 34Science Fiction 12 10 8 30Comedy 9 8 12 29Totals 29 33 31 93Assume the assumptions of the test are satisfied and

determine the critical value for the test. 14.86 5.991 9.488 16.919Question 13 1

/ 1 pointFind the expected count under the null hypothesis.A sociologist was interested in determining if there was a

relationship between the age of a young adult (18 to 35 years old) and the type

of movie preferred. A random sample of 93 adults revealed the following data.

Use a Chi-Square independence test to determine if age and type of movie

preferred are independent at the 5% level of significance. 18-23 years old 24-29 years old 30-35 years old TotalsDrama 8 15 11 34Science Fiction 12 10 8 30Comedy 9 8 12 29Totals 29 33 31 93Assume the assumptions of the test are satisfied and find

the expected number of 24-29 year-olds who prefer comedies under the null

hypothesis. 8 11.56 10.29 7.34Question 14 1

/ 1 pointFind the test statistic ?2.A sociologist was interested in determining if there was a

relationship between the age of a young adult (18 to 35 years old) and the type

of movie preferred. A random sample of 93 adults revealed the following data.

Use a Chi-Square independence test to determine if age and type of movie

preferred are independent at the 5% level of significance. 18-23 years old 24-29 years old 30-35 years old TotalsDrama 8 15 11 34Science Fiction 12 10 8 30Comedy 9 8 12 29Totals 29 33 31 93Assume the assumptions of the test are satisfied and find

the test statistic ?2. 1.444 12.234 3.623 2.944 Cannot be determined.Question 15 1

/ 1 pointState your decision regarding the null hypothesis.A sociologist was interested in determining if there was a

relationship between the age of a young adult (18 to 35 years old) and the type

of movie preferred. A random sample of 93 adults revealed the following data.

Use a Chi-Square independence test to determine if age and type of movie

preferred are independent at the 5% level of significance. 18-23 years old 24-29 years old 30-35 years old TotalsDrama 8 15 11 34Science Fiction 12 10 8 30Comedy 9 8 12 29Totals 29 33 31 93Assume the assumptions of the test are satisfied and state

your decision regarding the null hypothesis.Note: the p-value =

0.4594 Do not reject the null hypothesis. Reject the null hypothesis.Question 16 1

/ 1 pointState your conclusion to the hypothesis test.A sociologist was interested in determining if there was a

relationship between the age of a young adult (18 to 35 years old) and the type

of movie preferred. A random sample of 93 adults revealed the following data.

Use a Chi-Square independence test to determine if age and type of movie

preferred are independent at the 5% level of significance. 18-23 years old 24-29 years old 30-35 years old TotalsDrama 8 15 11 34Science Fiction 12 10 8 30Comedy 9 8 12 29Totals 29 33 31 93Assume the assumptions of the test are satisfied and state

your conclusion to the test.Note: the p-value =

0.4594 Cannot be determined. The data suggests that age and type of movie preferred are

not independent. The data does not suggest that age and type of movie

preferred are independent. The data does not suggest that age and type of movie

preferred are dependent. The data suggests that age and type of movie preferred are

dependent.Question 17 1

/ 1 pointState the null and alternative hypotheses.It has been rumored that the color distribution of M&Ms

is 30% brown, 20% yellow, 20% red, 10% orange, 10% blue, and 10% green. You are suspect of this rumor and decide to

count the number of each color contained in a randomly chosen bag to perform a

Chi-Square goodness-of-fit test at a 5% significance level. Brown Yellow Red OrangeBlue Green TotalNumber Observed 27 16 21 12 9 15 100State the null and alternative hypotheses. H0: pbrown=0.30

, pyellow=0.20 ,

pred=0.20 , porange=0.10

, pblue=0.10 ,

pgreen=0.10HA: At least one of the stated proportions is not correct. H0: pbrown=0.30

, pyellow=0.20 ,

pred=0.20 , porange=0.10

, pblue=0.10 ,

pgreen=0.10HA: All of the stated proportions are not correct.Question 18 1

/ 1 pointDetermine the critical value.It has been rumored that the color distribution of M&Ms

is 30% brown, 20% yellow, 20% red, 10% orange, 10% blue, and 10% green. You are suspect of this rumor and decide to

count the number of each color contained in a randomly chosen bag to perform a

Chi-Square goodness-of-fit test at a 5% significance level. Brown Yellow Red OrangeBlue Green TotalNumber Observed 27 16 21 12 9 15 100Assume the assumptions of the test are satisfied and

determine the critical value for the test. 12.833 0.05 11.070 5.991Question 19 1

/ 1 pointDetermine the expected count under the null hypothesis.It has been rumored that the color distribution of M&Ms

is 30% brown, 20% yellow, 20% red, 10% orange, 10% blue, and 10% green. You are suspect of this rumor and decide to

count the number of each color contained in a randomly chosen bag to perform a Chi-Square

goodness-of-fit test at a 5% significance level. Brown Yellow Red OrangeBlue Green TotalNumber Observed 27 16 21 12 9 15 100Assume the assumptions of the test are satisfied and

determine the expected number of yellow M&M’s in the bag under the null

hypothesis. 5 10 20 30Question 20 1

/ 1 pointCalculate the test statistic ?2.It has been rumored that the color distribution of M&Ms

is 30% brown, 20% yellow, 20% red, 10% orange, 10% blue, and 10% green. You are suspect of this rumor and decide to

count the number of each color contained in a randomly chosen bag to perform a

Chi-Square goodness-of-fit test at a 5% significance level. Brown Yellow Red OrangeBlue Green TotalNumber Observed 27 16 21 12 9 15 100Assume the assumptions of the test are satisfied and

calculate the test statistic ?2. 4.15 6.47 16.83 20.43Question 21 0

/ 1 pointState your decision regarding the null hypothesis.It has been rumored that the color distribution of M&Ms

is 30% brown, 20% yellow, 20% red, 10% orange, 10% blue, and 10% green. You are suspect of this rumor and decide to

count the number of each color contained in a randomly chosen bag to perform a

Chi-Square goodness-of-fit test at a 5% significance level. Brown Yellow Red OrangeBlue Green TotalNumber Observed 27 16 21 12 9 15 100Assume the assumptions of the test are satisfied and state

your decision regarding the null hypothesis. Reject the null hypothesis. Do not reject the null hypothesis.Question 22 1

/ 1 pointState the null and alternative hypotheses.A study was conducted to determine if there is a

relationship between fan preference of instant replay use and the sport in

which it is applied. The category counts

of 102 fans are provided in the two-way table below. Use a Chi-Square independence test to

determine if fan preference of instant replay use and the sport in which it is

used are independent at the 5% level of significance. Fav

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