b. Test the claim by constructing an appropriate confidence interval The 99% confidence interval is
b. Test the claim by constructing an appropriate confidence interval The 99% confidence interval is
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
Transcribed Image Text:Since an instant replay system for tennis was introduced at a major tournament, men challenged 1396 referee calls, with the result that 414 of the calls were overturned. Women challenged 773
referee calls, and 210 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.
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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
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H₁: Py =P₂
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b. Test the claim by constructing an appropriate confidence interval
The 90% confidence interval is < (P₁-P₂) <
Identify the test statistic. A
z= 1.23
(Round to two decimal places as needed.)
Identify the P-value.
P-value = 0.220
(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.
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