In: Statistics and Probability
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1417 referee calls, with the result that 419 of the calls were overturned. Women challenged 746 referee calls, and 229 of the calls were overturned. Use a 0.05 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below.
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?
z=?
P-value=?
What is the conclusion based on the hypothesis test?
Test the claim by constructing an appropriate confidence interval.(95%)
What is the conclusion based on the confidence interval?
Based on the results, does it appear that men and women may have equal success in challenging calls?