in a recent court case it was found that during a period of 11 years 887 people were selected for grand jury duty and 40​% of them were from the same ethnicity. Among the people eligible for grand...

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

887 people were selected for grand jury duty and

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

79.6​% 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.