Since an instant replay system for tennis was introduced at a major tournament, men challenged 1388 referee calls, with the result that 429 of the calls were overturned. Women challenged 769 referee calls, and 212 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 OB. Ho: P₁ P2 H₁: P₁ = P2 OC. Ho: P₁ P2 H₁: P₁ P2 H₁: P₁ P₂ OD. Ho: P₁ = P2 O E. Ho: P₁ = P2 H₁: P₁ P2 OF. Ho: P₁ = P2 H₁: P₁ P2 H₁: P₁
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1388 referee calls, with the result that 429 of the calls were overturned. Women challenged 769 referee calls, and 212 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 OB. Ho: P₁ P2 H₁: P₁ = P2 OC. Ho: P₁ P2 H₁: P₁ P2 H₁: P₁ P₂ OD. Ho: P₁ = P2 O E. Ho: P₁ = P2 H₁: P₁ P2 OF. Ho: P₁ = P2 H₁: P₁ P2 H₁: P₁
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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![**Testing the Equality of Success in Referee Call Challenges by Gender in Tennis**
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1388 referee calls, with the result that 429 of the calls were overturned. Women challenged 769 referee calls, and 212 of the calls were overturned. We 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) Hypothesis Test
#### Null and Alternative Hypotheses:
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?
- Null Hypothesis (H₀): \( p_1 = p_2 \)
- Alternative Hypothesis (H₁): \( p_1 \ne p_2 \)
#### Test Statistic:
Identify the test statistic.
\[ z = \_\_\_\_ \]
(Round to two decimal places as needed.)
#### P-value:
Identify the P-value.
\[ \text{P-value} = \_\_\_\_ \]
(Round to three decimal places as needed.)
#### Conclusion:
What is the conclusion based on the hypothesis test?
\[ \text{The P-value is} \_\_\_\_ \text{ the significance level of } \alpha = 0.01, \text{ so we} \_\_\_\_ \text{ the null hypothesis.} \]
There \(\_\_\_\_\) evidence to warrant rejection of the claim that women and men have equal success in challenging calls.
---
### (b) Confidence Interval
#### Constructing an Appropriate Confidence Interval:
Test the claim by constructing an appropriate confidence interval.
The 99% confidence interval is:
\[ < (p_1 - p_2) < \]
(Round to three decimal places as needed.)
#### Conclusion:
What is the conclusion based on the confidence interval?
Because the confidence interval limits \(\_\_\_\_\) 0, there \(\_\_\_\_\) appear to be a significant difference between the two proportions. There \(\_\_\_\_\) evidence to warrant rejection of the claim that men and women have equal success in challenging calls.
---
### (c) Conclusion Based on Results
Based on the results, does it](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94a522d8-ef89-4b5b-a14c-d37c6cf2440e%2Fc44d05db-e844-4bc7-a7a7-33bdc4924201%2Fpa7919_processed.png&w=3840&q=75)
Transcribed Image Text:**Testing the Equality of Success in Referee Call Challenges by Gender in Tennis**
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1388 referee calls, with the result that 429 of the calls were overturned. Women challenged 769 referee calls, and 212 of the calls were overturned. We 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) Hypothesis Test
#### Null and Alternative Hypotheses:
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?
- Null Hypothesis (H₀): \( p_1 = p_2 \)
- Alternative Hypothesis (H₁): \( p_1 \ne p_2 \)
#### Test Statistic:
Identify the test statistic.
\[ z = \_\_\_\_ \]
(Round to two decimal places as needed.)
#### P-value:
Identify the P-value.
\[ \text{P-value} = \_\_\_\_ \]
(Round to three decimal places as needed.)
#### Conclusion:
What is the conclusion based on the hypothesis test?
\[ \text{The P-value is} \_\_\_\_ \text{ the significance level of } \alpha = 0.01, \text{ so we} \_\_\_\_ \text{ the null hypothesis.} \]
There \(\_\_\_\_\) evidence to warrant rejection of the claim that women and men have equal success in challenging calls.
---
### (b) Confidence Interval
#### Constructing an Appropriate Confidence Interval:
Test the claim by constructing an appropriate confidence interval.
The 99% confidence interval is:
\[ < (p_1 - p_2) < \]
(Round to three decimal places as needed.)
#### Conclusion:
What is the conclusion based on the confidence interval?
Because the confidence interval limits \(\_\_\_\_\) 0, there \(\_\_\_\_\) appear to be a significant difference between the two proportions. There \(\_\_\_\_\) evidence to warrant rejection of the claim that men and women have equal success in challenging calls.
---
### (c) Conclusion Based on Results
Based on the results, does it
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