Since an instant replay system for tennis was introduced at amajor​ tournament, men challenged 1441 referee​ calls, with theresult that 422 of the calls were overturned. Women challenged 758referee​ calls, and 216 of the calls were overturned. Use a 0.05significance level to test the claim that men and women have equalsuccess 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 tennisplayers who challenged referee calls and the second sample to bethe 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?
The​ P-value is
(less than or greater than)
the significance level of
alpha =0.05​, so
(reject OR fail to reject) the null hypothesis. There
(is sufficient OR is not sufficient)
evidence to warrant rejection of the claim that women and menhave equal success in challenging calls.
b. Test the claim by constructing an appropriate confidenceinterval.
The
9595​%
confidence interval is
nothingless than​(Round to three decimal places as​ needed.)
What is the conclusion based on the confidence​ interval?
Because the confidence interval limits
(include OR do not include)
​0, there
(does not OR does)
appear to be a significant difference between the twoproportions. There
(is not sufficient OR is sufficient)
evidence to warrant rejection of the claim that men and womenhave equal success in challenging calls.
c. Based on the​ results, does it appear that men and women mayhave equal success in challenging​ calls?
A.
The confidence interval suggests that there is no significantdifference between the success of men and women in challengingcalls.
B.
The confidence interval suggests that there is a significantdifference between the success of men and women in challengingcalls. It is reasonable to speculate that women have moresuccess.
C.
The confidence interval suggests that there is a significantdifference between the success of men and women in challengingcalls. It is reasonable to speculate that men have moresuccess.
D.
There is not enough information to reach a conclusion.
