Since an instant replay system for tennis was introduced at a major tournament, men challenged 1415 referee calls, with the result that 425 of the calls were overturned. Women challenged 755 referee calls, and 210 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 hypothesis test?
A.
H0: p1=p2
H1: p1≠p2
B.
H0: p1≠p2
H1: p1=p2
C.
H0: p1=p2
H1: p1 p2
F.
H0: p1≤p2
H1: p1≠p2
Identify the test statistic.
z=nothing
(Round to two decimal places as needed.)
Identify the P-value.
P-value=nothing
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
▼
less than
greater than
the significance level of α=0.05, so
▼
reject
fail to reject
the null hypothesis. There
▼
is not sufficient
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 nothing (Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Because the confidence interval limits
▼
include
do not include
0, there
▼
does
does not
appear to be a significant difference between the two proportions. There
▼
is sufficient
is not sufficient
evidence to warrant rejection of the claim that men and women have equal success in challenging calls.
c. Based on the results, does it appear that men and women may have equal success in challenging calls?
A.
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.
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 men have more success.
C.
The confidence interval suggests that there is no significant difference between the success of men and women in challenging calls.
D.
There is not enough information to reach a conclusion.