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Name: Since an instant replay system for tennis was introduced at a major t
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Description: Since an instant replay system for tennis was introduced at a major tournament, men challenged 1438 referee calls, with the result that 427 of the calls were overturned. Women challenged 775 referee calls, and 216 of the calls were overturned. Use

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Since an instant replay system for tennis was introduced at a major tournament, men challenged 1438 referee calls, with the result that 427 of the calls were overturned. Women challenged 775 referee calls, and 216 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls.

a. Test the claim using a hypothesis test.

b. Identify the t statistic. z = ?

c. Identify the p value.

d. What is the conclusion based on the hypothesis test?

The P-value is (greater than, less than) the significance level of α=0.01, so (reject, fail to reject) the null hypothesis. There (is not sufficient, is sufficient)
evidence to warrant rejection of the claim that women and men have equal success in challenging calls.

e. Test the claim by constructing an appropriate confidence interval.

The 99% confidence interval is ____<p1−p2<____.

f. What is the conclusion based on the confidence interval?

Because the confidence interval limits (do not include, include) 0, there (does not, does) appear to be a significant difference between the two proportions. There (is sufficient, is not sufficient) evidence to warrant rejection of the claim that men and women have equal success in challenging calls.

g. Based on the results, does it appear that men and women may have equal success in challenging calls?

A. The confidence interval suggests that there is no significant difference between the success of men and women in challenging calls.

B. The confidence interval suggests that there is a significant difference between the success of men and women in challenging calls. It is reasonable to speculate that men have more success.

C. The confidence interval suggests that there is a significant difference between the success of men and women in challenging calls. It is reasonable to speculate that women have more success.

D. There is not enough information to reach a conclusion.

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