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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
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?
H0:
p1=p2
H1:
p1≠p2
H0:
p1≤p2
H1:
p1≠p2
H0:
p1=p2
H1:
p1>p2
H0:
p1≥p2
H1:
p1≠p2
H0:
p1≠p2
H1:
p1=p2
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
the significance level of
the null hypothesis. There
evidence to warrant rejection of the claim that women and men have equal success in challenging calls.
▼
greater than
less than
α=0.01,
so
▼
fail to reject
reject
▼
is not sufficient
is sufficient
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
0, there
appear to be a significant difference between the two proportions. There
evidence to warrant rejection of the claim that men and women have equal success in challenging calls.
▼
do not include
include
▼
does
does not
▼
is sufficient
is not sufficient
Part 7
c. Based on the results, does it appear that men and women may have equal success in challenging calls?
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.
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.
The confidence interval suggests that there is no significant difference between the success of men and women in challenging calls.
There is not enough information to reach a conclusion.
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