Since an instant replay system for tennis was introduced at a majortournament, men challenged 1420 refereecalls, with the result that 429 of the calls were overturned. Women challenged 763 refereecalls, and 225 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.

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 hypothesistest?

A.

H0: p1=p2

H1: p1p2

B.

H0: p1p2

H1: p1p2

C.

H0: p1=p2

H1: p1>p2

D.

H0: p1p2

H1: p1=p2

E.

H0: p1=p2

H1: p1

F.

H0: p1p2

H1: p1p2

Identify the test statistic.

z=___

(Round to two decimal places asneeded.)

Identify theP-value.

P-value=_____

(Round to three decimal places asneeded.)

What is the conclusion based on the hypothesistest?

TheP-value is greater than

the significance level of =0.05, so reject

the null hypothesis. There is sufficient

evidence to warrant rejection of the claim that women and men have equal success in challenging calls.

b. Test the claim by constructing an appropriate confidence interval.

The 95% confidence interval is

____

.

(Round to three decimal places asneeded.)

What is the conclusion based on the confidenceinterval?

Because the confidence interval limits include

0, there does

appear to be a significant difference between the two proportions. There is sufficient

evidence to warrant rejection of the claim that men and women have equal success in challenging calls.

c. Based on theresults, does it appear that men and women may have equal success in challengingcalls?

A.

The confidence interval suggests that there is no significant difference between the success of men and women in challenging calls.

B.

The confidence interval suggests that there is a significant difference between the success of men and women in challenging calls. It is reasonable to speculate that women have more success.

C.

The confidence interval suggests that there is a significant difference between the success of men and women in challenging calls. It is reasonable to speculate that men have more success.

D.

There is not enough information to reach a conclusion.