What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of x = 0.01, so fail to reject the null hypothesis. There calls. b. Test the claim by constructing an appropriate confidence interval. The 99% confidence interval is (Round to three decimal places as needed.) < (P₁-P₂) <-

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
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Since an instant replay system for tennis was introduced at a major tournament, men challenged 1389 referee calls, with the result that 430 of the calls were overturned. Women challenged 748 referee calls, and 228 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?
OA. Ho: P₁ P₂
H₁: P₁ P₂
O D. Ho: P₁ P₂
H₁: P₁ = P₂
Identify the test statistic.
z = 0.22
(Round to two decimal places as needed.)
Identify the P-value.
P-value = 0.826
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
B. Ho: P₁ P₂
H₁: P₁ #P₂
b. Test the claim by constructing an appropriate confidence interval.
The 99% confidence interval is < (P₁-P₂) <0·
(Round to three decimal places as needed.)
C
OE H₂: P₁ = P₂
H₁: P₁ P₂
OC. Ho: P₁ = P₂
H₁: P₁ P₂
OF. Ho: P₁ P₂
H₁: P₁ P₂
The P-value is greater than the significance level of α = 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.
Transcribed Image Text:Since an instant replay system for tennis was introduced at a major tournament, men challenged 1389 referee calls, with the result that 430 of the calls were overturned. Women challenged 748 referee calls, and 228 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? OA. Ho: P₁ P₂ H₁: P₁ P₂ O D. Ho: P₁ P₂ H₁: P₁ = P₂ Identify the test statistic. z = 0.22 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.826 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? B. Ho: P₁ P₂ H₁: P₁ #P₂ b. Test the claim by constructing an appropriate confidence interval. The 99% confidence interval is < (P₁-P₂) <0· (Round to three decimal places as needed.) C OE H₂: P₁ = P₂ H₁: P₁ P₂ OC. Ho: P₁ = P₂ H₁: P₁ P₂ OF. Ho: P₁ P₂ H₁: P₁ P₂ The P-value is greater than the significance level of α = 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.
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