Since an instant replay system for tennis was introduced at a major tournament, men challenged 1388 referee calls, with the result that 429 of the calls were overturned. Women challenged 769 referee calls, and 212 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? OA. Ho: P₁ P2 OB. Ho: P₁ P2 H₁: P₁ = P2 OC. Ho: P₁ P2 H₁: P₁ P2 H₁: P₁ P₂ OD. Ho: P₁ = P2 O E. Ho: P₁ = P2 H₁: P₁ P2 OF. Ho: P₁ = P2 H₁: P₁ P2 H₁: P₁
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1388 referee calls, with the result that 429 of the calls were overturned. Women challenged 769 referee calls, and 212 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? OA. Ho: P₁ P2 OB. Ho: P₁ P2 H₁: P₁ = P2 OC. Ho: P₁ P2 H₁: P₁ P2 H₁: P₁ P₂ OD. Ho: P₁ = P2 O E. Ho: P₁ = P2 H₁: P₁ P2 OF. Ho: P₁ = P2 H₁: P₁ P2 H₁: P₁
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 48CR
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![Since an instant replay system for tennis was introduced at a major tournament, men challenged 1388 referee calls, with the result that 429 of the calls were overturned.
Women challenged 769 referee calls, and 212 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?
OA. Ho: P₁ P2
OB. Ho: P₁ P2
H₁: P₁ = P₂
OC. Ho: P₁ ≤P2
H₁: P₁ P₂
H₁: P₁
P₂
O D. Ho: P₁ = P₂
E. Ho: P₁ = P2
H₁: P₁ P2
OF. Ho: P₁ = P₂
H₁: P₁ P2
H₁: P₁ P₂
Identify the test statistic.
Z=
(Round to two decimal places as needed.)
Identify the P-value.
P-value =
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
the null hypothesis. There
evidence to warrant rejection of the claim
the significance level of α = 0.01, so
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 < (P₁-P₂) <.
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
▼0, there
appear to be a significant difference between the two proportions. There
Because the confidence interval limits
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?
O 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.
O B. The confidence interval suggests that there is no significant difference between the success of men and women in challenging calls.
O C. 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.
O D. There is not enough information to reach a conclusion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94a522d8-ef89-4b5b-a14c-d37c6cf2440e%2Fc44d05db-e844-4bc7-a7a7-33bdc4924201%2Fpa7919_processed.png&w=3840&q=75)
Transcribed Image Text:Since an instant replay system for tennis was introduced at a major tournament, men challenged 1388 referee calls, with the result that 429 of the calls were overturned.
Women challenged 769 referee calls, and 212 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?
OA. Ho: P₁ P2
OB. Ho: P₁ P2
H₁: P₁ = P₂
OC. Ho: P₁ ≤P2
H₁: P₁ P₂
H₁: P₁
P₂
O D. Ho: P₁ = P₂
E. Ho: P₁ = P2
H₁: P₁ P2
OF. Ho: P₁ = P₂
H₁: P₁ P2
H₁: P₁ P₂
Identify the test statistic.
Z=
(Round to two decimal places as needed.)
Identify the P-value.
P-value =
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
the null hypothesis. There
evidence to warrant rejection of the claim
the significance level of α = 0.01, so
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 < (P₁-P₂) <.
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
▼0, there
appear to be a significant difference between the two proportions. There
Because the confidence interval limits
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?
O 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.
O B. The confidence interval suggests that there is no significant difference between the success of men and women in challenging calls.
O C. 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.
O D. There is not enough information to reach a conclusion.
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