A random survey of 100 students asked each student to select the most preferred form of

Chapter 9, Problem 9.2-6

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QUESTION:

A random survey of 100 students asked each student to select the most preferred form of recreational activity from five choices. Following are the results of the survey: Recreational Choice Baseball Jogging Gender Basketball Softball Swimming Running Tennis Totals Male 21 5 9 12 13 60 Female 9 3 1 15 12 40 Totals 30 8 10 27 25 100 Test whether the choice is independent of the gender of the respondent. Approximate the p-value of the test. Would we reject the null hypothesis at = 0.05?

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QUESTION:

A random survey of 100 students asked each student to select the most preferred form of recreational activity from five choices. Following are the results of the survey: Recreational Choice Baseball Jogging Gender Basketball Softball Swimming Running Tennis Totals Male 21 5 9 12 13 60 Female 9 3 1 15 12 40 Totals 30 8 10 27 25 100 Test whether the choice is independent of the gender of the respondent. Approximate the p-value of the test. Would we reject the null hypothesis at = 0.05?

ANSWER:

Step 1 of 3

Given that,

A random survey of 100 students asked each student to select the most preferred form of recreational activity from five choices. Following are the results of the survey:

Gender

Basketball

Baseball Softball

Swimming

Jogging Running

Tennis

Totals

Male

21

5

9

12

13

60

Female

9

3

1

15

12

40

Totals

30

8

10

27

25

100

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