Since an instant replay system for tennis was introduced at a major tournament, men challenged 1432 referee calls, with the result that 430 of the calls were overturned. Women challenged 741 referee calls, and 229 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.

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Since an instant replay system for tennis was introduced at a major tournament, men challenged 1432 referee calls,
with the result that 430 of the calls were overturned. Women challenged 741 referee calls, and 229 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.
Transcribed Image Text:K Since an instant replay system for tennis was introduced at a major tournament, men challenged 1432 referee calls, with the result that 430 of the calls were overturned. Women challenged 741 referee calls, and 229 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?
A. Ho: P₁ = P2
H₁: P₁ P2
OD. Ho: P1 P2
H₁: P₁
P2
Identify the test statistic.
OB. Ho: P₁ SP2
H₁: P₁
P2
OE. Ho: P₁ P₂
H₁: P₁ P₂
Z=
(Round to two decimal places as needed.)
Identify the P-value.
calls.
P-value=
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
b. Test the claim by constructing an appropriate confidence interval.
The 99% confidence interval is
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
<
OC. Ho: P₁
H₁: P₁
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
(P₁-P₂)
P₂
P₂
P2
OF. Ho: P1
H₁: P₁ P₂
0, there does not appear to be a significant difference
ant evidence to warrant rejection of the claim that men and women
Because the confidence interval limits
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?
OA. The confidence interval suggests that there is no significant difference between the success of men and
women in challenging calls.
OB. 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.
OC. 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.
Transcribed Image Text: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? A. Ho: P₁ = P2 H₁: P₁ P2 OD. Ho: P1 P2 H₁: P₁ P2 Identify the test statistic. OB. Ho: P₁ SP2 H₁: P₁ P2 OE. Ho: P₁ P₂ H₁: P₁ P₂ Z= (Round to two decimal places as needed.) Identify the P-value. calls. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is b. Test the claim by constructing an appropriate confidence interval. The 99% confidence interval is (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? < OC. Ho: P₁ H₁: P₁ 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 (P₁-P₂) P₂ P₂ P2 OF. Ho: P1 H₁: P₁ P₂ 0, there does not appear to be a significant difference ant evidence to warrant rejection of the claim that men and women Because the confidence interval limits 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? OA. The confidence interval suggests that there is no significant difference between the success of men and women in challenging calls. OB. 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. OC. 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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