In a recent court case it was found that during a period of 11 years 884 people were selected for grand jury duty and 35​% of them were from the same ethnicity. Among the people eligible for grand jury​ duty, 79.9​% 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? A. H0: p=0.799 H1: p>0.799 B. H0: p=0.799 H1: p<0.799 C. H0: p>0.799 H1: p=0.799 D. H0: p=0.799 H1: p≠0.799 E. H0: p≠0.799 H1: p=0.799 F. H0: p<0.799 H1: p=0.799 What is the test​ statistic? z= ​(Round to two decimal places as​ needed.) What is the​ P-value? ​P-value= ​(Round to four decimal places as​ needed.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
icon
Related questions
Question

In a recent court case it was found that during a period of 11 years 884 people were selected for grand jury duty and 35​% of them were from the same ethnicity. Among the people eligible for grand jury​ duty, 79.9​% 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?

A. H0: p=0.799 H1: p>0.799

B. H0: p=0.799 H1: p<0.799

C. H0: p>0.799 H1: p=0.799

D. H0: p=0.799 H1: p≠0.799

E. H0: p≠0.799 H1: p=0.799

F. H0: p<0.799 H1: p=0.799

What is the test​ statistic? z= ​(Round to two decimal places as​ needed.)

What is the​ P-value? ​P-value= ​(Round to four decimal places as​ needed.)

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning