Since an instant replay system for tennis was introduced at a major tournament, men challenged 1438 referee calls, with the result that 424 of the calls were overturned. Womer challenged 758 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) 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 refe calls. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P1₁ = P2 H₁: P₁ P₂ OD. Ho: P1 #P2 H₁: P₁ = P₂ Identify the test statistic. (Round to two decimal places as needed.) View an example Get more help- B. Ho: P1 P2 H₁: P₁ #P₂ ... OE. Ho: P1 P₂ H₁: P₁ P₂ OC. Ho: P1 SP2 H₁: P₁ P2 OF Ho: P1 P2 H₁: P₁ P2 Clear all Check answer
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1438 referee calls, with the result that 424 of the calls were overturned. Womer challenged 758 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) 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 refe calls. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P1₁ = P2 H₁: P₁ P₂ OD. Ho: P1 #P2 H₁: P₁ = P₂ Identify the test statistic. (Round to two decimal places as needed.) View an example Get more help- B. Ho: P1 P2 H₁: P₁ #P₂ ... OE. Ho: P1 P₂ H₁: P₁ P₂ OC. Ho: P1 SP2 H₁: P₁ P2 OF Ho: P1 P2 H₁: P₁ P2 Clear all Check answer
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Hypothesis Testing in Tennis Referee Challenges**
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1438 referee calls, resulting in 424 overturned calls. Women challenged 758 referee calls, with 219 overturned. Using a 0.01 significance level, we aim to test the claim that men and women have equal success in challenging calls.
### a. Hypothesis Testing
**Objective:** Test the claim using a hypothesis test.
**Samples:**
- Sample 1: Male tennis players who challenged referee calls.
- Sample 2: Female tennis players who challenged referee calls.
**Null and Alternative Hypotheses:**
Select the appropriate null and alternative hypotheses for the hypothesis test:
- A. \( H_0: p_1 = p_2 \)
\( H_1: p_1 < p_2 \)
- B. \( H_0: p_1 = p_2 \)
\( H_1: p_1 \neq p_2 \)
- C. \( H_0: p_1 = p_2 \)
\( H_1: p_1 > p_2 \)
- **D. \( H_0: p_1 \neq p_2 \)**
**\( H_1: p_1 = p_2 \)**
- E. \( H_0: p_1 > p_2 \)
\( H_1: p_1 = p_2 \)
- F. \( H_0: p_1 < p_2 \)
\( H_1: p_1 = p_2 \)
Select the statistical test:
\( z = \_\_\_\_ \) (Round to two decimal places as needed)
---
On the screen, the selected hypotheses option is "B," indicating the use of a two-tailed test to determine if there is a significant difference between the success rates of male and female tennis players in challenging referee calls.
**Note:** This exercise involves applying statistical hypothesis testing principles to real-world sports data, using specified significance levels to draw conclusions about gender differences in sports analytics.
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