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 saved 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 saved 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 saved 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 saved 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 saved 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 saved 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 saved 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 saved 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?

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&M’s 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 Orange Blue 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&M’s 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 Orange Blue 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&M’s 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 Orange Blue 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&M’s 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 Orange Blue 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&M’s 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 Orange Blue 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 Total s

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 Total s

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 Total s

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 Total s

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.

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- Course: Economics
- Subject: St. Petersburg College - Stat 2023 Module 6 Quiz
- Subject code: St. Petersburg College - Stat 2023 Module 6 Quiz
- Date of exam: 24/04/2018
- Year of study: 2018
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