In a recent court case it was found that during a period of 11 years 877 people were selected for grand jury duty and 36% of them were from the same ethnicity. Among the people eligible for grand jury duty, 78.5% were of this ethnicity. Use a 0.01 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. Hn: p <0.785 O B. Hn: p=0.785 H: p=0.785 H: p>0.785 YC. Hn: p=0.785 O D. Ho: p>0.785 H: p<0.785 H: p=0.785 O E. Ho: p=0.785 O F. Hn: p #0.785 H: p #0.785 H1: p=0.785 What is the test statistic? (Round to two decimal places as needed.)

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
Question
100%

I need Help finding the test statistic and the P value

In a recent court case, it was found that during a period of 11 years, 877 people were selected for grand jury duty and 36% of them were from the same ethnicity. Among the people eligible for grand jury duty, 78.5% were of this ethnicity. Use a 0.01 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?

- A. \( H_0: p < 0.785 \)
  \( H_1: p = 0.785 \)

- B. \( H_0: p = 0.785 \)
  \( H_1: p > 0.785 \)

- C. \( H_0: p = 0.785 \)
  \( H_1: p < 0.785 \) *(Correct Answer)*

- D. \( H_0: p > 0.785 \)
  \( H_1: p = 0.785 \)

- E. \( H_0: p = 0.785 \)
  \( H_1: p \neq 0.785 \)

- F. \( H_0: p \neq 0.785 \)
  \( H_1: p = 0.785 \)

What is the test statistic?

\( z = \square \)  
(Round to two decimal places as needed.)
Transcribed Image Text:In a recent court case, it was found that during a period of 11 years, 877 people were selected for grand jury duty and 36% of them were from the same ethnicity. Among the people eligible for grand jury duty, 78.5% were of this ethnicity. Use a 0.01 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? - A. \( H_0: p < 0.785 \) \( H_1: p = 0.785 \) - B. \( H_0: p = 0.785 \) \( H_1: p > 0.785 \) - C. \( H_0: p = 0.785 \) \( H_1: p < 0.785 \) *(Correct Answer)* - D. \( H_0: p > 0.785 \) \( H_1: p = 0.785 \) - E. \( H_0: p = 0.785 \) \( H_1: p \neq 0.785 \) - F. \( H_0: p \neq 0.785 \) \( H_1: p = 0.785 \) What is the test statistic? \( z = \square \) (Round to two decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
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