Since an instant replay system for tennis was introduced at a major tournament, men challenged 1408 referee calls, with the result that 412 of the calls were overturned. Women challenged 740 referee calls, and 218 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 D. Ho: P1 P2 H₁: P₁ P2 OB. Ho: P₁ P₂ H₁: P₁>P2 OE. Ho: P₁ P₂ H₁: P₁ P2 OC. Ho: P₁ P₂ H₁: P₁ P₂ OF. Ho: P₁ P₂ H₁: P₁ P2 Identify the test statistic. z= -0.10 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.924 (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 < (P₁-P₂) <- (Round to three decimal places as needed.)
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1408 referee calls, with the result that 412 of the calls were overturned. Women challenged 740 referee calls, and 218 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 D. Ho: P1 P2 H₁: P₁ P2 OB. Ho: P₁ P₂ H₁: P₁>P2 OE. Ho: P₁ P₂ H₁: P₁ P2 OC. Ho: P₁ P₂ H₁: P₁ P₂ OF. Ho: P₁ P₂ H₁: P₁ P2 Identify the test statistic. z= -0.10 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.924 (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 < (P₁-P₂) <- (Round to three decimal places as needed.)
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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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 412 of the calls were overturned. Women challenged 740 referee calls, and 218 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
D. Ho: P₁ = P2
H₁: P₁ P2
Identify the test statistic.
z= -0.10
(Round to two decimal places as needed.)
Identify the P-value.
P-value = 0.924
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
OB. Ho: P₁ = P2
H₁: P₁>P2
G
O E. Ho: P₁ = P2
H₁: P₁ <P2
OC. Ho: P₁ P₂
H₁1: P₁ P2
OF. Ho: P₁ P₂
H₁: P₁ = P2
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 < (P₁-P₂) <
(Round to three decimal places as needed.)
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