Since an instant replay system for tennis was introduced at a major tournament, men challenged 1384 referee calls, with the result that 428 of the calls were overturned. Women challenged 766 referee calls, and 219 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) 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 H₁: P₁ P₂ O D. Ho: P1 = P2 H₁: P₁ P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. O B. Ho: P₁ SP2 H₁: P₁ P2 OE. Ho: P1 H₁: P₁ C P2 P2 OC. Ho: P1 H₁: P₁ OF. Ho: P1 H₁: P₁ P2 P2 P2 P2

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
Section12.2: Introduction To Probability
Problem 3E: Write the sample space for the experiments in Exercise 3-8. A month of the year chosen for a...
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Since an instant replay system for tennis was introduced at a major tournament, men challenged 1384 referee calls, with the result that 428 of the calls were overturned. Women challenged 766
referee calls, and 219 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)
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
H₁: P₁
P₂
O D. Ho: P1 P2
H₁: P₁ P2
Identify the test statistic.
Z=
(Round to two decimal places as needed.)
Identify the P-value.
B. Ho: P1 P2
H₁: P₁ #P2
~
O E. Ho: P1 P2
P2
H₁: P₁
OC. Ho: P1 P2
H₁: P₁ P2
OF. Ho: P1 P2
P2
H₁: P₁
Transcribed Image Text:Since an instant replay system for tennis was introduced at a major tournament, men challenged 1384 referee calls, with the result that 428 of the calls were overturned. Women challenged 766 referee calls, and 219 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) 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 H₁: P₁ P₂ O D. Ho: P1 P2 H₁: P₁ P2 Identify the test statistic. Z= (Round to two decimal places as needed.) Identify the P-value. B. Ho: P1 P2 H₁: P₁ #P2 ~ O E. Ho: P1 P2 P2 H₁: P₁ OC. Ho: P1 P2 H₁: P₁ P2 OF. Ho: P1 P2 P2 H₁: P₁
What is the conclusion based on the hypothesis test?
The P-value is
equal success in challenging calls.
▼ the significance level of α = 0.01, so
b. Test the claim by constructing an appropriate confidence interval.
The 99% confidence interval is
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
< (P₁-P₂) <-
the null hypothesis. There
Because the confidence interval limits
▼0, there
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?
evidence to warrant rejection of the claim that women and men have
▼appear to be a significant difference between the two proportions. There
evidence to warrant rejection
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 women have more
Transcribed Image Text:What is the conclusion based on the hypothesis test? The P-value is equal success in challenging calls. ▼ the significance level of α = 0.01, so b. Test the claim by constructing an appropriate confidence interval. The 99% confidence interval is (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? < (P₁-P₂) <- the null hypothesis. There Because the confidence interval limits ▼0, there 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? evidence to warrant rejection of the claim that women and men have ▼appear to be a significant difference between the two proportions. There evidence to warrant rejection 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 women have more
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