Chapter 8, Problem 18SE

St. Louis Jury Pool St. Louis County is $24\%$ African American. Suppose you are looking at jury pools, each with 200 members, in St. Louis County. The null hypothesis is that the probability of an African American being selected into the jury pool is $24\%.$

a. How many African Americans would you expect on a jury pool of 200 people if the null hypothesis is true?

b. Suppose pool A contains 40 African American people out of 200, and pool B contains 26 African American people out of 200. Which will have a smaller p-value and why?