a recent court case it was found that during a period of 11 years 893 people were selected for grand jury duty and 2% of them were from the same ethnicity. Among the people eligible for grand jury duty, 81% were of this ethnicity. se a 0.05 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit n the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null ypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution s an approximation to the binomial distribution. 05 -- H₁: p<0.81 What is the test statistic? Z= -29.71 (Round to two decimal places as needed.) What is the P-value? P-value= (Round to four decimal places as needed.) ** U H₁: p=0.81

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?
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In a recent court case it was found that during a period of 11 years 893 people were selected for grand jury duty and
42% of them were from the same ethnicity. Among the people eligible for grand jury duty, 81% 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.
U
H₁: p<0.81
What is the test statistic?
Z = -29.71
(Round to two decimal places as needed.)
What is the P-value?
P-value=
(Round to four decimal places as needed.)
Ur
H₁: p=0.81
Transcribed Image Text:In a recent court case it was found that during a period of 11 years 893 people were selected for grand jury duty and 42% of them were from the same ethnicity. Among the people eligible for grand jury duty, 81% 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. U H₁: p<0.81 What is the test statistic? Z = -29.71 (Round to two decimal places as needed.) What is the P-value? P-value= (Round to four decimal places as needed.) Ur H₁: p=0.81
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