Question

In a recent court case, it was found that during a period of 11 years 890 people were selected for grand jury duty and 41 % of them were from the same ethnicity. Among the people eligible for grand jury duty, 78 % 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, the conclusion about the null hypothesis, and the 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?

Answer 1

from above as p value is less than 0.01 level and test statistic is in rejection region ; we reject null hypothesis

we have sufficient evidence to conclude that the selection process is biased against allowing this ethnicity to sit on the grand jury