Question

In a recent court case it was found that during a period of 11 years 855 people were selected for grand jury duty and 37​% of them were from the same ethnicity. Among the people eligible for grand jury​ duty, 78.4​% 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.

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

What is the test​ statistic?

What is the P-value.

Answer 1

Conclusion: There is evidence to conclude that  the selection process is biased against allowing this ethnicity to sit on the grand jury.