Since an instant replay system for tennis was introduced at a major​ tournament, men challenged 1410 referee​ calls, with the result that 424 of the calls were overturned. Women challenged 764 referee​ calls, and 223 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?   Identify the test statistic? Identify the​ P-value? What is the conclusion based on the hypothesis​ test? Is there enough evidence? b. Test the claim by constructing an appropriate confidence interval. The 99​% confidence interval is ?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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Since an instant replay system for tennis was introduced at a major​ tournament, men challenged 1410 referee​ calls, with the result that 424 of the calls were overturned. Women challenged 764 referee​ calls, and 223 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?
 
Identify the test statistic?
Identify the​ P-value?
What is the conclusion based on the hypothesis​ test? Is there enough evidence?
b. Test the claim by constructing an appropriate confidence interval.
The
99​% confidence interval is ? <p1−p2< ?.
What is the conclusion based on the confidence​ interval?
 
c. Based on the​ results, does it appear that men and women may have equal success in challenging​ calls?
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