Since an instant replay system for tennis was introduced at a major tournament, men challenged 1439 referee calls, with the result that 422 of the calls were overturned. Women challenged 742 referee calls, and 216 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. H₂: P₁ = P₂ H₁: P₁ #P₂ OD. H₂: P₁ = P₂ H₁: P₁ P₂ Identify the test statistic. 2= (Round to two decimal places as needed.) dentify 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 (1)- - the significance level of a=0.01, so (2). 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. ] < (P₁-P₂) <[ The 99% confidence interval is (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? OB. Ho: P₁ = P₂ H₁: P₁

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Since an instant replay system for tennis was introduced at a major​ tournament, men challenged 1439 referee​ calls, with the result that 422 of the calls were overturned. Women challenged 742 referee​ calls, and 216 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.

Since an instant replay system for tennis was introduced at a major tournament, men challenged 1439 referee calls, with the result that 422 of the calls were overturned. Women challenged 742 referee calls, and 216 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. \( H_0: p_1 = p_2 \) 
  \( H_1: p_1 \neq p_2 \)

- B. \( H_0: p_1 \leq p_2 \) 
  \( H_1: p_1 > p_2 \)

- C. \( H_0: p_1 \geq p_2 \) 
  \( H_1: p_1 \neq p_2 \)

- D. \( H_0: p_1 = p_1 \) 
  \( H_1: p_1 > p_2 \)

- E. \( H_0: p_1 \leq p_2 \) 
  \( H_1: p_1 \neq p_2 \)

- F. \( H_0: p_1 \neq p_2 \) 
  \( H_1: p_1 = p_2 \)

Identify the test statistic:

\( z = \)  
(Round to two decimal places as needed.)

Identify the P-value:

\( \text{P-value} = \)  
(Round to three decimal places as needed.)

What is the conclusion based on the hypothesis test?

The P-value is (1) ________ the significance level of \( \alpha = 0.01 \), so (2) ________ the null hypothesis. There (3) ________ 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 ________ < \( (p_1 - p_2) = \) ________.

(Round to
Transcribed Image Text:Since an instant replay system for tennis was introduced at a major tournament, men challenged 1439 referee calls, with the result that 422 of the calls were overturned. Women challenged 742 referee calls, and 216 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. \( H_0: p_1 = p_2 \) \( H_1: p_1 \neq p_2 \) - B. \( H_0: p_1 \leq p_2 \) \( H_1: p_1 > p_2 \) - C. \( H_0: p_1 \geq p_2 \) \( H_1: p_1 \neq p_2 \) - D. \( H_0: p_1 = p_1 \) \( H_1: p_1 > p_2 \) - E. \( H_0: p_1 \leq p_2 \) \( H_1: p_1 \neq p_2 \) - F. \( H_0: p_1 \neq p_2 \) \( H_1: p_1 = p_2 \) Identify the test statistic: \( z = \) (Round to two decimal places as needed.) Identify the P-value: \( \text{P-value} = \) (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is (1) ________ the significance level of \( \alpha = 0.01 \), so (2) ________ the null hypothesis. There (3) ________ 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 ________ < \( (p_1 - p_2) = \) ________. (Round to
Expert Solution
Step 1: Given information

Sample of male : 

Sampls size = n1 = 1439

Number of result that overturned = n subscript 2 = 422

Sample proportion = p^1x subscript 1 over n subscript 2 = 4221439 = 0.293259 

Sample of female : 

Sampls size = n2 = 742

Number of result that overturned = x2 = 216

Sample proportion = p^1 = x2n2 = 216742 = 0.291105


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