Based on the results, does it appear that men and women may have equal success in challenging calls?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
I also need this answered ; Based on the results, does it appear that men and women may have equal success in challenging calls?
**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.
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.*
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.*
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman