ince an instant replay system for tennis was introduced at a major​ tournament, men challenged 1407   referee​ calls, with the result that 425   of the calls were overturned. Women challenged 771   referee​ calls, and 213   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.       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. Upper H 0 ​: p 1 equalsp 2 Upper H 1 ​: p 1 not equalsp 2     B. Upper H 0 ​: p 1 not equalsp 2 Upper H 1 ​: p 1 equalsp 2     C. Upper H 0 ​: p 1 greater than or equalsp 2 Upper H 1 ​: p 1 not equalsp 2     D. Upper H 0 ​: p 1 equalsp 2 Upper H 1 ​: p 1 less thanp 2     E. Upper H 0 ​: p 1 less than or equalsp 2 Upper H 1 ​: p 1 not equalsp 2     F. Upper H 0 ​: p 1 equalsp 2 Upper H 1 ​: p 1 greater thanp 2   Identify the test statistic.   zequals enter your response here ​(Round to two decimal places as​ needed.) Identify the​ P-value.   ​P-valueequals enter your response here ​(Round to three decimal places as​ needed.) What is the conclusion based on the hypothesis​ test?   The​ P-value is ▼   greater than less than the significance level of alpha equals0.01 ​, 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 99 ​% confidence interval is enter your response here less thanleft parenthesis p 1 minus p 2 right parenthesisless thanenter your response here . ​(Round to three decimal places as​ needed.) 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. 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.

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Since an instant replay system for tennis was introduced at a major​ tournament, men challenged

1407
 

referee​ calls, with the result that

425
 

of the calls were overturned. Women challenged

771
 

referee​ calls, and

213
 

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.
 
 
 
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.
Upper H 0
​:
p 1

equalsp 2

Upper H 1
​:
p 1

not equalsp 2

 
 
B.
Upper H 0
​:
p 1

not equalsp 2

Upper H 1
​:
p 1

equalsp 2

 
 
C.
Upper H 0
​:
p 1

greater than or equalsp 2

Upper H 1
​:
p 1

not equalsp 2

 
 
D.
Upper H 0
​:
p 1

equalsp 2

Upper H 1
​:
p 1

less thanp 2

 
 
E.
Upper H 0
​:
p 1

less than or equalsp 2

Upper H 1
​:
p 1

not equalsp 2

 
 
F.
Upper H 0
​:
p 1

equalsp 2

Upper H 1
​:
p 1

greater thanp 2

 
Identify the test statistic.
 
zequals

enter your response here

​(Round to two decimal places as​ needed.)
Identify the​ P-value.
 
​P-valueequals

enter your response here

​(Round to three decimal places as​ needed.)
What is the conclusion based on the hypothesis​ test?
 
The​ P-value is
 
greater than
less than
the significance level of
alpha

equals0.01

​,
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
99
​%

confidence interval is

enter your response here

less thanleft parenthesis p 1 minus p 2 right parenthesisless thanenter your response here

.
​(Round to three decimal places as​ needed.)
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.
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.
 
 
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