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.

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.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 6E: List the sample space of each experiment. Tossing three coins

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Related questions

Question

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?

Upper H 0

p 1

equalsp 2

Upper H 1

p 1

not equalsp 2

Upper H 0

p 1

not equalsp 2

Upper H 1

p 1

equalsp 2

Upper H 0

p 1

greater than or equalsp 2

Upper H 1

p 1

not equalsp 2

Upper H 0

p 1

equalsp 2

Upper H 1

p 1

less thanp 2

Upper H 0

p 1

less than or equalsp 2

Upper H 1

p 1

not equalsp 2

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

▼

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

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?

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 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 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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