Question

Census data for a certain county show that 19% of the adult residents are Hispanic. Suppose 72 people are called for jury duty and only 9 of them are Hispanic. Does this apparent under-representation of Hispanics call in to question the fairness of the jury selection system? Explain

a) Using the given Binomial model: Find the probability of falling at least as far away from expected as we actually observed, meaning 4.68 or more away from 13.68 (in either direction). Note that the probability we find here, is called the P-value, and the process we are performing here is called a two-sided significance test.

b) Considering the probability that you found in part (a) above: Do you feel that the lower number of Hispanics in our sample is best explained by random chance, or do you instead feel that it indicates something is broken in our model? Explain your reasoning for your choice.

Please show all steps and how to calculate.

Answer 1