### Hypothesis Testing Scenario In a recent court case, it was found that during a period of 11 years, 861 people were selected for grand jury duty, and 36% of them were from the same ethnicity. Among the people eligible for grand jury duty, 78% were of this ethnicity. Use a 0.05 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. ### Hypothesis Options Select the correct hypothesis test to be conducted: - **A.** \( H_0 : p = 0.78 \) \( H_1 : p > 0.78 \) - **B.** \( H_0 : p = 0.78 \) \( H_1 : p \neq 0.78 \) - **C.** \( H_0 : p > 0.78 \) \( H_1 : p = 0.78 \) - **D.** \( H_0 : p = 0.78 \) \( H_1 : p < 0.78 \) - **E.** \( H_0 : p \neq 0.78 \) \( H_1 : p = 0.78 \) - **F.** \( H_0 : p < 0.78 \) \( H_1 : p = 0.78 \) ### Test Statistic Calculation What is the test statistic? \[ z = \, \text{[Input box]} \] *(Round to two decimal places as needed.)* ### P-Value Calculation What is the P-value? \[ \text{P-value} = \, \text{[Input box]} \] *(Round to four decimal places as needed.)* ### Conclusion on Null Hypothesis What is the conclusion on the null hypothesis? ### Navigation - **Next** button to proceed with the test and calculations.
### Hypothesis Testing Scenario In a recent court case, it was found that during a period of 11 years, 861 people were selected for grand jury duty, and 36% of them were from the same ethnicity. Among the people eligible for grand jury duty, 78% were of this ethnicity. Use a 0.05 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. ### Hypothesis Options Select the correct hypothesis test to be conducted: - **A.** \( H_0 : p = 0.78 \) \( H_1 : p > 0.78 \) - **B.** \( H_0 : p = 0.78 \) \( H_1 : p \neq 0.78 \) - **C.** \( H_0 : p > 0.78 \) \( H_1 : p = 0.78 \) - **D.** \( H_0 : p = 0.78 \) \( H_1 : p < 0.78 \) - **E.** \( H_0 : p \neq 0.78 \) \( H_1 : p = 0.78 \) - **F.** \( H_0 : p < 0.78 \) \( H_1 : p = 0.78 \) ### Test Statistic Calculation What is the test statistic? \[ z = \, \text{[Input box]} \] *(Round to two decimal places as needed.)* ### P-Value Calculation What is the P-value? \[ \text{P-value} = \, \text{[Input box]} \] *(Round to four decimal places as needed.)* ### Conclusion on Null Hypothesis What is the conclusion on the null hypothesis? ### Navigation - **Next** button to proceed with the test and calculations.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![### Hypothesis Testing Scenario
In a recent court case, it was found that during a period of 11 years, 861 people were selected for grand jury duty, and 36% of them were from the same ethnicity. Among the people eligible for grand jury duty, 78% were of this ethnicity. Use a 0.05 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.
### Hypothesis Options
Select the correct hypothesis test to be conducted:
- **A.** \( H_0 : p = 0.78 \)
\( H_1 : p > 0.78 \)
- **B.** \( H_0 : p = 0.78 \)
\( H_1 : p \neq 0.78 \)
- **C.** \( H_0 : p > 0.78 \)
\( H_1 : p = 0.78 \)
- **D.** \( H_0 : p = 0.78 \)
\( H_1 : p < 0.78 \)
- **E.** \( H_0 : p \neq 0.78 \)
\( H_1 : p = 0.78 \)
- **F.** \( H_0 : p < 0.78 \)
\( H_1 : p = 0.78 \)
### Test Statistic Calculation
What is the test statistic?
\[ z = \, \text{[Input box]} \]
*(Round to two decimal places as needed.)*
### P-Value Calculation
What is the P-value?
\[ \text{P-value} = \, \text{[Input box]} \]
*(Round to four decimal places as needed.)*
### Conclusion on Null Hypothesis
What is the conclusion on the null hypothesis?
### Navigation
- **Next** button to proceed with the test and calculations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63df5fd8-0485-47c7-8767-e04f023442e6%2F9e3aff68-44b8-4133-a654-fc9c3d499371%2Frrw6oue_processed.png&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing Scenario
In a recent court case, it was found that during a period of 11 years, 861 people were selected for grand jury duty, and 36% of them were from the same ethnicity. Among the people eligible for grand jury duty, 78% were of this ethnicity. Use a 0.05 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.
### Hypothesis Options
Select the correct hypothesis test to be conducted:
- **A.** \( H_0 : p = 0.78 \)
\( H_1 : p > 0.78 \)
- **B.** \( H_0 : p = 0.78 \)
\( H_1 : p \neq 0.78 \)
- **C.** \( H_0 : p > 0.78 \)
\( H_1 : p = 0.78 \)
- **D.** \( H_0 : p = 0.78 \)
\( H_1 : p < 0.78 \)
- **E.** \( H_0 : p \neq 0.78 \)
\( H_1 : p = 0.78 \)
- **F.** \( H_0 : p < 0.78 \)
\( H_1 : p = 0.78 \)
### Test Statistic Calculation
What is the test statistic?
\[ z = \, \text{[Input box]} \]
*(Round to two decimal places as needed.)*
### P-Value Calculation
What is the P-value?
\[ \text{P-value} = \, \text{[Input box]} \]
*(Round to four decimal places as needed.)*
### Conclusion on Null Hypothesis
What is the conclusion on the null hypothesis?
### Navigation
- **Next** button to proceed with the test and calculations.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman