Question

# In a recent court case, it was found that during a period of 11 years 893...

In a recent court case, it was found that during a period of 11 years 893 people were selected for grand jury duty and 36​% of them were from the same ethnicity. Among the people eligible for grand jury​ duty, 78.6% 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.

a. What is the hypothesis test to be​ conducted?

b. What is the test​ statistic?

z = ___

c. What is the​ P-value?

d. What is the conclusion about the null​ hypothesis?

e. What is the final​ conclusion?

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