Question

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

877877

people were selected for grand jury duty and

4141​%

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

78.578.5​%

were of this ethnicity. Use a

0.010.01

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.

Answer 1

as p value is significantly low we reject null hypothesis and conclude that the selection process is biased against allowing this ethnicity to sit on the grand jury.