In a recent court case it was found that during a period of 11 years 854 people were selected for grand jury duty and 40% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79%

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.

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Part 1 Which of the following is the hypothesis test to be conducted?

A.

H0:p<0.79

H1:p=0.79

B.

H0:p>0.79

H1:p=0.79

C.

H0:p=0.79

H1:p0.79

D.

H0:p0.79

H1:p=0.79

E.

H0:p=0.79

H1:p>0.79

F.

H0:p=0.79

H1:p<0.79

Part 2 What is the test statistic?

z=enter your response here (Round to two decimal places as needed.)

Part 3 What is the P-value?

P-value=enter your response here (Round to four decimal places as needed.)

Part 4 What is the conclusion on the null hypothesis?

Failtoreject the null hypothesis because the P-value is greaterthan the significance level, .

Reject the null hypothesis because the P-value is greaterthan the significance level, .

Reject the null hypothesis because the P-value is lessthanorequalto the significance level, .

Failtoreject the null hypothesis because the P-value is lessthanorequalto the significance level, .

Part 5 Does the jury selection system appear to be fair?

A. There isnot sufficient evidence to warrant rejection of the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. The jury selection process appears to be fair.

B. There isnot sufficient evidence to support the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. The jury selection process appears to be unfair.

C. There is sufficient evidence to warrant rejection of the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. The jury selection process appears to be fair.

D. There is sufficient evidence to support the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. The jury selection process appears to be unfair.