Since an instant replay system for tennis was introduced at a major​ tournament, men challenged 1441 referee​ calls, with the result that 429 of the calls were overturned. Women challenged 747 referee​ calls, and 215 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.       Question content area bottom Part 1 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   D. H0​: p1≥p2 H1​: p1≠p2   E. H0​: p1≠p2 H1​: p1=p2   F. H0​: p1=p2 H1​: p1

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Since an instant replay system for tennis was introduced at a major​ tournament, men challenged
1441
referee​ calls, with the result that
429
of the calls were overturned. Women challenged
747
referee​ calls, and
215
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.
 
 
 

Question content area bottom

Part 1
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
 
D.
H0​:
p1≥p2
H1​:
p1≠p2
 
E.
H0​:
p1≠p2
H1​:
p1=p2
 
F.
H0​:
p1=p2
H1​:
p1<p2
Part 2
Identify the test statistic.
 
z=enter your response here
​(Round to two decimal places as​ needed.)
Part 3
Identify the​ P-value.
 
​P-value=enter your response here
​(Round to three decimal places as​ needed.)
Part 4
What is the conclusion based on the hypothesis​ test?
 
The​ P-value is
 
greater than
less than
the significance level of
α=0.01​,
so
 
fail to reject
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.
Part 5
b. Test the claim by constructing an appropriate confidence interval.
 
The
99​%
confidence interval is
enter your response here<p1−p2<enter your response here.
​(Round to three decimal places as​ needed.)
Part 6
What is the conclusion based on the confidence​ interval?
 
Because the confidence interval limits
 
do not include
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.
Part 7
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 men 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 women 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.
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