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 ____
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 ____
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 8E: List the sample space of each experiment. Picking a one-digit number
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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.
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?
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.
A. The confidence interval suggests that there is no significant difference between the success of men and women in challenging calls.
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