Since an instant replay system for tennis was introduced at a major tournament, men challenged 1408 referee calls, with the result that 412 of the calls were overturned. Women challenged 740 referee calls, and 218 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 H₁: P₁ P2 OD. Ho: P1 INCLI P2 H₁: P₁ P2 OB. Ho: P1 P2 H₁: P₁ P2 OE. Ho: P₁ P2 H₁: P₁ P2 OC. Ho: P₁ H₁: P₁ OF. Ho: P₁ P2 P2 P2 ₁1P₁ P₂

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### Hypothesis Testing in Tennis Referee Challenges

Since the introduction of an instant replay system at a major tennis tournament, male players challenged 1,408 referee calls with 412 calls overturned. Female players challenged 740 calls with 218 calls overturned. We are tasked with testing the claim that men and women have equal success in challenging calls using a 0.01 significance level. Below are the steps for conducting the hypothesis test.

#### a. Test the claim using a hypothesis test.

Consider the first sample as male tennis players who challenged referee calls, and the second sample as female players who did the same. We aim to identify the null and alternative hypotheses for this hypothesis test.

#### Hypotheses Options:

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

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

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

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

E.
- \( H_0: p_1 = p_2 \)
- \( H_1: p_1 < p_2 \)

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

Review these options to select the appropriate hypotheses for testing whether the success rates in call challenges between male and female players are equal.
Transcribed Image Text:### Hypothesis Testing in Tennis Referee Challenges Since the introduction of an instant replay system at a major tennis tournament, male players challenged 1,408 referee calls with 412 calls overturned. Female players challenged 740 calls with 218 calls overturned. We are tasked with testing the claim that men and women have equal success in challenging calls using a 0.01 significance level. Below are the steps for conducting the hypothesis test. #### a. Test the claim using a hypothesis test. Consider the first sample as male tennis players who challenged referee calls, and the second sample as female players who did the same. We aim to identify the null and alternative hypotheses for this hypothesis test. #### Hypotheses Options: A. - \( H_0: p_1 \leq p_2 \) - \( H_1: p_1 \neq p_2 \) B. - \( H_0: p_1 = p_2 \) - \( H_1: p_1 > p_2 \) C. - \( H_0: p_1 \geq p_2 \) - \( H_1: p_1 \neq p_2 \) D. - \( H_0: p_1 = p_2 \) - \( H_1: p_1 \neq p_2 \) E. - \( H_0: p_1 = p_2 \) - \( H_1: p_1 < p_2 \) F. - \( H_0: p_1 \neq p_2 \) - \( H_1: p_1 = p_2 \) Review these options to select the appropriate hypotheses for testing whether the success rates in call challenges between male and female players are equal.
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