In: Statistics and Probability
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1437referee calls, with the result that 426
of the calls were overturned. Women challenged 752 referee calls, and 225 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.
Let denote the proportion of tennis players who challenged referee calls among men and women.