Since an instant replay system for tennis was introduced at a major tournament, men challenged 1408 referee calls, with the result that 421 of the calls were overturned. Women challenged 764 referee calls, and 213 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? OC. Họ: P1 SP2 H: P, # P2 O B. Ho P1 = P2 O A. Ho: P1 =P2 H P > P2 H,: P, P2 OF. Ho: P1 #P2 OD. Ho P1 2 P2 H, P, # P2 O E. Ho P1 = P2 H,: P,

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Since an instant replay system for tennis was introduced at a major tournament, men challenged 1408 referee calls, with the result that 421 of the calls were overturned. Women challenged 764 referee calls, and 213 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 =P2
H1: P1 > P2
O B. Ho: P1 = P2
H1: P1 # P2
O C. Ho: P1 SP2
H1: P1 # P2
O E. Ho: P1 = P2
H,: P1 < P2
O F. Ho: P1 + P2
H1: P1 = P2
O D. Ho: P12P2
H1: P1 #P2
Transcribed Image Text:Since an instant replay system for tennis was introduced at a major tournament, men challenged 1408 referee calls, with the result that 421 of the calls were overturned. Women challenged 764 referee calls, and 213 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 =P2 H1: P1 > P2 O B. Ho: P1 = P2 H1: P1 # P2 O C. Ho: P1 SP2 H1: P1 # P2 O E. Ho: P1 = P2 H,: P1 < P2 O F. Ho: P1 + P2 H1: P1 = P2 O D. Ho: P12P2 H1: P1 #P2
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1434 referee calls, with the result that 417 of the calls were overturned. Women challenged 743 referee calls, and 217 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.
H1: P1 # P2
H1:P1 = P2
H1:P1 <P2
Identify the test statistic.
z= - 0.06
(Round to two decimal places as needed.)
Identify the P-value
P-value = 0.951
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is greater than the significance level of a = 0.01, so fail to reject the null hypothesis. There is not sufficient 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
- 0.054 < (P1 - P2) < 0.052'.
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Because the confidence interval limits
include
0, there does not appear to be a significant difference between the two proportions. There is not sufficient 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?
Transcribed Image Text:Since an instant replay system for tennis was introduced at a major tournament, men challenged 1434 referee calls, with the result that 417 of the calls were overturned. Women challenged 743 referee calls, and 217 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. H1: P1 # P2 H1:P1 = P2 H1:P1 <P2 Identify the test statistic. z= - 0.06 (Round to two decimal places as needed.) Identify the P-value P-value = 0.951 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of a = 0.01, so fail to reject the null hypothesis. There is not sufficient 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 - 0.054 < (P1 - P2) < 0.052'. (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits include 0, there does not appear to be a significant difference between the two proportions. There is not sufficient 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?
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