In a recent court case it was found that during a period of 11 years

877

people were selected for grand jury duty and

37%

of them were from the same ethnicity. Among the people eligible for grand jury duty,

78%

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.

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

What is the test statistic? z =

What is the P -value?

What is the conclusion on the null hypothesis?

a.) Failtoreject

the null hypothesis because the P-value is

greaterthan

the significance level,

.

b.) Reject

the null hypothesis because the P-value is

greaterthan

the significance level,

.

c.) Reject

the null hypothesis because the P-value is

lessthanorequalto

the significance level,

.

d.) Failtoreject

the null hypothesis because the P-value is

lessthanorequalto

the significance level,

.

Does the jury selection system appear to be fair?

A.

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.

B.

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.

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.