Since an instant replay system for tennis was introduced at a major tournament, men challenged 1387 referee calls, wit
Posted: Sun Jul 10, 2022 10:16 am
Since an instant replay system for tennis was introduced at amajor tournament, men challenged
1387
referee calls, with the result that
411
of the calls were overturned. Women challenged
740
referee calls, and
216
of the calls were overturned. Use a
0.01
significance level to test the claim that men and women haveequal 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 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 thehypothesis 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 sufficient
is not sufficient
evidence to warrant rejection of the claim that women and menhave equal success in challenging calls.
Part 5
b. Test the claim by constructing an appropriate confidenceinterval.
The
99%
confidence interval is
enter your response here<p1−p2<enter your responsehere.
(Round to three decimal places as needed.)
Part 6
What is the conclusion based on theconfidence interval?
Because the confidence interval limits
▼
include
do not include
0, there
▼
does not
does
appear to be a significant difference between the twoproportions. There
▼
is not sufficient
is sufficient
evidence to warrant rejection of the claim that men and womenhave equal success in challenging calls.
Part 7
c. Based on the results, does it appear that men and womenmay have equal success in challenging calls?
A.
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.
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 no significantdifference between the success of men and women in challengingcalls.
D.
There is not enough information to reach a conclusion.
1387
referee calls, with the result that
411
of the calls were overturned. Women challenged
740
referee calls, and
216
of the calls were overturned. Use a
0.01
significance level to test the claim that men and women haveequal 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 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 thehypothesis 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 sufficient
is not sufficient
evidence to warrant rejection of the claim that women and menhave equal success in challenging calls.
Part 5
b. Test the claim by constructing an appropriate confidenceinterval.
The
99%
confidence interval is
enter your response here<p1−p2<enter your responsehere.
(Round to three decimal places as needed.)
Part 6
What is the conclusion based on theconfidence interval?
Because the confidence interval limits
▼
include
do not include
0, there
▼
does not
does
appear to be a significant difference between the twoproportions. There
▼
is not sufficient
is sufficient
evidence to warrant rejection of the claim that men and womenhave equal success in challenging calls.
Part 7
c. Based on the results, does it appear that men and womenmay have equal success in challenging calls?
A.
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.
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 no significantdifference between the success of men and women in challengingcalls.
D.
There is not enough information to reach a conclusion.