Homework Help is Here – Start Your Trial Now!
Math
Statistics
In a recent court case it was found that during a period of 11 years 885 people were selected for grand jury duty and 37% of them were from the same ethnicity. Among the people eligible for grand jury duty, 80% 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. Which of the following is the hypothesis test to be conducted? O A. Ho: p=0.8 OB. Ho: p=0.8 Hip>0.8 OD. Ho: pz0.8 H:p=0.8 H: pz0.8 OC. Ho: p>0.8 H:p=0.8 O E. Ho: p=0.8 H:p<0.8 OF Ho: p<0.8 H:p=0.8 What is the test statistic? (Round to two decimal places as needed.) What is the P-value? Pvalue = (Round to four decimal places as needed.) What is the conclusion on the null hypothesis? O Fail to reject the null hypothesis because the P-value is greater than the significance level, a. O Reject the null hypothesis because the P-value O Reject the null hypothesis because the P-value is greater than the significance level, a. O Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. less than or equal to the significance level, a.

In a recent court case it was found that during a period of 11 years 885 people were selected for grand jury duty and 37% of them were from the same ethnicity. Among the people eligible for grand jury duty, 80% 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. Which of the following is the hypothesis test to be conducted? O A. Ho: p=0.8 OB. Ho: p=0.8 Hip>0.8 OD. Ho: pz0.8 H:p=0.8 H: pz0.8 OC. Ho: p>0.8 H:p=0.8 O E. Ho: p=0.8 H:p<0.8 OF Ho: p<0.8 H:p=0.8 What is the test statistic? (Round to two decimal places as needed.) What is the P-value? Pvalue = (Round to four decimal places as needed.) What is the conclusion on the null hypothesis? O Fail to reject the null hypothesis because the P-value is greater than the significance level, a. O Reject the null hypothesis because the P-value O Reject the null hypothesis because the P-value is greater than the significance level, a. O Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, a. less than or equal to the significance level, a.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
**Question: Does the jury selection system appear to be fair?** **Options:** A. There is not sufficient evidence to support the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. The jury selection process appears to be unfair. B. There is sufficient evidence to support the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. The jury selection process appears to be unfair. C. There is sufficient evidence to warrant rejection of the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. The jury selection process appears to be fair. D. There is not sufficient evidence to warrant rejection of the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. The jury selection process appears to be fair.
Transcribed Image Text:**Question: Does the jury selection system appear to be fair?** **Options:** A. There is not sufficient evidence to support the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. The jury selection process appears to be unfair. B. There is sufficient evidence to support the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. The jury selection process appears to be unfair. C. There is sufficient evidence to warrant rejection of the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. The jury selection process appears to be fair. D. There is not sufficient evidence to warrant rejection of the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. The jury selection process appears to be fair.
In a recent court case, it was found that during a period of 11 years, 885 people were selected for grand jury duty, and 37% of them were from the same ethnicity. Among those eligible for grand jury duty, 80% were of this ethnicity. Using a 0.05 significance level, the goal is to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. The task involves identifying the null hypothesis, alternative hypothesis, test statistic, P-value, and making a conclusion about the null hypothesis. The P-value method and normal distribution are used for this hypothesis testing. **Hypothesis Test Options:** - **A.** \( H_0: p = 0.8 \) \( H_1: p \neq 0.8 \) - **B.** \( H_0: p = 0.8 \) \( H_1: p > 0.8 \) - **C.** \( H_0: p > 0.8 \) \( H_1: p = 0.8 \) - **D.** \( H_0: p \neq 0.8 \) \( H_1: p = 0.8 \) - **E.** \( H_0: p = 0.8 \) \( H_1: p < 0.8 \) - **F.** \( H_0: p < 0.8 \) \( H_1: p = 0.8 \) **Test Statistic:** \( z = \) _____ *(Round to two decimal places as needed.)* **P-Value:** P-value = _____ *(Round to four decimal places as needed.)* **Conclusion on the Null Hypothesis:** Choose one: - Fail to reject the null hypothesis because the P-value is greater than the significance level, \( \alpha \). - Reject the null hypothesis because the P-value is less than or equal to the significance level, \( \alpha \). - Reject the null hypothesis because the P-value is greater than the significance level, \( \alpha \). - Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, \( \alpha \).
Transcribed Image Text:In a recent court case, it was found that during a period of 11 years, 885 people were selected for grand jury duty, and 37% of them were from the same ethnicity. Among those eligible for grand jury duty, 80% were of this ethnicity. Using a 0.05 significance level, the goal is to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. The task involves identifying the null hypothesis, alternative hypothesis, test statistic, P-value, and making a conclusion about the null hypothesis. The P-value method and normal distribution are used for this hypothesis testing. **Hypothesis Test Options:** - **A.** \( H_0: p = 0.8 \) \( H_1: p \neq 0.8 \) - **B.** \( H_0: p = 0.8 \) \( H_1: p > 0.8 \) - **C.** \( H_0: p > 0.8 \) \( H_1: p = 0.8 \) - **D.** \( H_0: p \neq 0.8 \) \( H_1: p = 0.8 \) - **E.** \( H_0: p = 0.8 \) \( H_1: p < 0.8 \) - **F.** \( H_0: p < 0.8 \) \( H_1: p = 0.8 \) **Test Statistic:** \( z = \) _____ *(Round to two decimal places as needed.)* **P-Value:** P-value = _____ *(Round to four decimal places as needed.)* **Conclusion on the Null Hypothesis:** Choose one: - Fail to reject the null hypothesis because the P-value is greater than the significance level, \( \alpha \). - Reject the null hypothesis because the P-value is less than or equal to the significance level, \( \alpha \). - Reject the null hypothesis because the P-value is greater than the significance level, \( \alpha \). - Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, \( \alpha \).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE 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
SEE MORE TEXTBOOKS