n a recent court case it was found that during a period of 11 years888people were selected for grand jury duty and39​%of them were from the same ethnicity. Among the people eligible for grand jury​ duty,80.4​%were of this ethnicity. Use a0.01significance 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.

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n a recent court case it was found that during a period of 11 years888people were selected for grand jury duty and39​%of them were from the same ethnicity. Among the people eligible for grand jury​ duty,80.4​%were of this ethnicity. Use a0.01significance 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.

Expert Solution
Step 1

Given information-

Sample size, n = 888

Significance level, α = 0.01

Population proportion, p = 0.804

Statistics homework question answer, step 1, image 1

We have to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury.

So, it is two-tailed test hypothesis.

Hypothesis Formulation-

Null Hypothesis, H0: p = 0.804

Alternate Hypothesis, Ha: p ≠ 0.804

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