MATLAB: An Introduction with Applications
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ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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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