find test statistic AND p value

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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find test statistic AND p value

In a recent court case it was found that during a period of 11 years 862 people were selected for grand jury duty and 43% of
them were from the same ethnicity. Among the people eligible for grand jury duty, 79.8% 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. Ho: p<0.798
H₁: p=0.798
C. Ho: p=0.798
H₁: p0.798
Z=
E. Ho: p=0.798
H₁: p<0.798
What is the test statistic?
(Round to two decimal places as needed.)
B. Ho: p>0.798
H₁: p=0.798
D. Ho: p=0.798
H₁: p>0.798
F. Ho: p *0.798
H₁: p=0.798
Transcribed Image Text:In a recent court case it was found that during a period of 11 years 862 people were selected for grand jury duty and 43% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.8% 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. Ho: p<0.798 H₁: p=0.798 C. Ho: p=0.798 H₁: p0.798 Z= E. Ho: p=0.798 H₁: p<0.798 What is the test statistic? (Round to two decimal places as needed.) B. Ho: p>0.798 H₁: p=0.798 D. Ho: p=0.798 H₁: p>0.798 F. Ho: p *0.798 H₁: p=0.798
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