Based on the results, does it appear that men and women may have equal success in challenging calls?
Based on the results, does it appear that men and women may have equal success in challenging calls?
MATLAB: An Introduction with Applications
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Based on the results, does it appear that men and women may have equal success in challenging calls?

Transcribed Image Text:**Hypothesis Testing in Tennis Tournament - Educational Example**
**Context:**
An instant replay system in tennis was introduced at a major tournament. In this event:
- Men challenged 1435 referee calls.
- Women challenged 740 referee calls.
- Out of these, 427 calls were overturned for men, and for women, 218 calls were overturned.
The objective is to test at a 0.01 significance level whether men and women have equal success rates in challenging calls.
**Hypothesis Testing:**
**Task:** Test the claim using a hypothesis test.
**Considerations:**
- First sample: Male tennis players challenging referee calls.
- Second sample: Female tennis players challenging referee calls.
**Objective:** Identify the null and alternative hypotheses for the hypothesis test.
**Options for Null (\( H_0 \)) and Alternative (\( H_1 \)) Hypotheses:**
- **A.** \( H_0: p_1 = p_2 \); \( H_1: p_1 > p_2 \)
- **B.** \( H_0: p_1 \geq p_2 \); \( H_1: p_1 \neq p_2 \)
- **C.** \( H_0: p_1 \neq p_2 \); \( H_1: p_1 = p_2 \)
- **D.** \( H_0: p_1 = p_2 \); \( H_1: p_1 < p_2 \)
- **E.** \( H_0: p_1 = p_2 \); \( H_1: p_1 \neq p_2 \)
- **F.** \( H_0: p_1 \leq p_2 \); \( H_1: p_1 \neq p_2 \)
**Statistical Analysis:**
**Identify the Test Statistic:**
- Calculate the test statistic (z-score) and round it to two decimal places.
**Identify the P-value:**
- Determine the P-value based on the calculated z-score.
This setup provides a structured format to guide students in formulating hypotheses and analyzing data for hypothesis testing in a real-world scenario.
![**Title: Statistical Analysis of Tennis Challenge Success Rates**
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1435 referee calls, with the result that 427 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.
**Part (a): Hypothesis Test**
1. **Identify the Test Statistic:**
- \( z = \) [Box for input]
*(Round to two decimal places as needed)*
2. **Identify the P-value:**
- \( P\text{-value} = \) [Box for input]
*(Round to three decimal places as needed)*
3. **Conclusion Based on the Hypothesis Test:**
- The P-value is [Dropdown selection] the significance level of \( \alpha = 0.01 \), so [Dropdown selection] the null hypothesis. There [Dropdown selection] evidence to warrant rejection of the claim that women and men have equal success in challenging calls.
**Part (b): Confidence Interval**
- Test the claim by constructing an appropriate confidence interval. [Instructions for where to input the confidence interval calculations]
*Note: Students should ensure they understand how to compute the test statistic and the P-value accurately. Familiarity with hypothesis testing and confidence intervals is crucial for this exercise.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c4a10a4-f78a-4b33-baf7-d4cbff942cfa%2F9aabc6ba-7dc4-4b01-a394-667122de838e%2Fq8ukv4e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Statistical Analysis of Tennis Challenge Success Rates**
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1435 referee calls, with the result that 427 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.
**Part (a): Hypothesis Test**
1. **Identify the Test Statistic:**
- \( z = \) [Box for input]
*(Round to two decimal places as needed)*
2. **Identify the P-value:**
- \( P\text{-value} = \) [Box for input]
*(Round to three decimal places as needed)*
3. **Conclusion Based on the Hypothesis Test:**
- The P-value is [Dropdown selection] the significance level of \( \alpha = 0.01 \), so [Dropdown selection] the null hypothesis. There [Dropdown selection] evidence to warrant rejection of the claim that women and men have equal success in challenging calls.
**Part (b): Confidence Interval**
- Test the claim by constructing an appropriate confidence interval. [Instructions for where to input the confidence interval calculations]
*Note: Students should ensure they understand how to compute the test statistic and the P-value accurately. Familiarity with hypothesis testing and confidence intervals is crucial for this exercise.*
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