Since an instant replay system for tennis was introduced at a major tournament, men challenged 1383 referee calls, with the result that 427 of the calls were overturned. Women challenged 778 referee calls, and 230 of the calls were overturned. Use a 0.05 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. C 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. Ho: P1 P2 O B. Ho: P1=P2 OA. Ho: P₁ = P2 H₁: P₁ P2 H₁: P₁ P2 H₁: P₁ P2 OE. Ho: P₁ OD. Ho: P₁ SP2 P2 P2 OF. Ho: P1 P2 H₁: P₁ P₂ H₁: P₁ H₁: P₁ P₂ dentify the test statistic. (Round to two decimal places as needed.) dentify the P-value. P-value= (Round to three decimal places as needed.)

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Since an instant replay system for tennis was introduced at a major tournament, men challenged 1383 referee calls, with the result that 427 of the calls were overturned. Women challenged 778 referee calls, and 230 of the calls
were overturned. Use a 0.05 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. Ho: P₁ P2
O A. Ho: P₁ P₂
B. Ho: P₁ = P2
H₁: P₁
P2
H₁: P₁
P₂
H₁: P₁ P₂
E. Ho: P₁
OF. Ho: P₁
P2
D. Ho: P₁ ≤P2
P2
H₁: P₁ P₂
H₁: P₁ = P2
H₁: P₁
P₂
Identify the test statistic.
Z=
(Round to two decimal places as needed.)
Identify the P-value.
P-value =
(Round to three decimal places as needed.)
Transcribed Image Text:Since an instant replay system for tennis was introduced at a major tournament, men challenged 1383 referee calls, with the result that 427 of the calls were overturned. Women challenged 778 referee calls, and 230 of the calls were overturned. Use a 0.05 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. Ho: P₁ P2 O A. Ho: P₁ P₂ B. Ho: P₁ = P2 H₁: P₁ P2 H₁: P₁ P₂ H₁: P₁ P₂ E. Ho: P₁ OF. Ho: P₁ P2 D. Ho: P₁ ≤P2 P2 H₁: P₁ P₂ H₁: P₁ = P2 H₁: P₁ P₂ Identify the test statistic. Z= (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
the significance level of α = 0.05, so
the null hypothesis. There
b. Test the claim by constructing an appropriate confidence interval.
The 95% confidence interval is
(P₁-P₂) <.
(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
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.
C. The confidence interval suggests that there is no significant difference between the success of men and women in challenging calls.
O D. There is not enough information to reach a conclusion.
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 men and women
Transcribed Image Text:What is the conclusion based on the hypothesis test? The P-value is the significance level of α = 0.05, so the null hypothesis. There b. Test the claim by constructing an appropriate confidence interval. The 95% confidence interval is (P₁-P₂) <. (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 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. C. The confidence interval suggests that there is no significant difference between the success of men and women in challenging calls. O D. There is not enough information to reach a conclusion. 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 men and women
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