Since an instant replay system for tennis was introduced at a major tournament, men challenged 1404 referee calls, with the result that 428 of the calls were overturned. Women challenged 767 referee calls, and 210 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. Complete parts (a) through (c) below.

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Since an instant replay system for tennis was introduced at a major tournament, men challenged 1404 referee calls, with the result that 428 of the calls were overturned. Women
challenged 767 referee calls, and 210 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.
Complete parts (a) through (c) below.
a. Test the claim using a hypothesis test.
Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged
referee calls. What are the null and alternative hypotheses for the hypothesis test?
O A. Ho: P1 Sp2
H4: P, #P2
O B. Ho: P1 = P2
H4:P, # P2
C. Ho: P1 = P2
H1: P1 > P2
O E. Ho: P1 2 P2
H1:P, #P2
O F. Ho: P1 = P2
H1:P1 <P2
D. Ho: P1 # P2
H1:P1 = P2
Identify the test statistic.
(Round to two decimal places as needed.)
Identify the P-value.
P-value
%3D
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
the significance level of a = 0.01, so
the null hypothesis. There
evidence to warrant rejection of the claim that women
and men have eaual success in challencina calls.
Transcribed Image Text:Since an instant replay system for tennis was introduced at a major tournament, men challenged 1404 referee calls, with the result that 428 of the calls were overturned. Women challenged 767 referee calls, and 210 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. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P1 Sp2 H4: P, #P2 O B. Ho: P1 = P2 H4:P, # P2 C. Ho: P1 = P2 H1: P1 > P2 O E. Ho: P1 2 P2 H1:P, #P2 O F. Ho: P1 = P2 H1:P1 <P2 D. Ho: P1 # P2 H1:P1 = P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. P-value %3D (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is the significance level of a = 0.01, so the null hypothesis. There evidence to warrant rejection of the claim that women and men have eaual success in challencina calls.
The P-value is
the significance level of a = 0.01, so
the null hypothesis. There
evidence to warrant rejection of the claim that women
and men have equal success in challenging calls.
b. Test the claim by constructing an appropriate confidence interval.
The 99% confidence interval is < (P1 - P2) <LU-
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Because the confidence interval limits
0, there
appear to be a significant difference between the two proportions. There
evidence to
warrant rejection of the claim that men and women have equal success in challenging calls.
c. Based on the results, does it appear that men and women may have equal success in challenging calls?
O A. 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.
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.
O c. The confidence interval suggests that there is no significant difference between the success of men and women in challenging calls.
D. There is not enough information to reach a conclusion.
Transcribed Image Text:The P-value is the significance level of a = 0.01, so the null hypothesis. There evidence to warrant rejection of the claim that women and men have equal success in challenging calls. b. Test the claim by constructing an appropriate confidence interval. The 99% confidence interval is < (P1 - P2) <LU- (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits 0, there appear to be a significant difference between the two proportions. There evidence to warrant rejection of the claim that men and women have equal success in challenging calls. c. Based on the results, does it appear that men and women may have equal success in challenging calls? O A. 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. 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. O c. The confidence interval suggests that there is no significant difference between the success of men and women in challenging calls. D. There is not enough information to reach a conclusion.
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