Question

St. Louis County is 24 percent 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 percent.

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

Answer 1

Under the null hypothesis with a 24 percent chance of an African American being selected to a jury pool, one would expect 48 African Americans in a jury pool of 200 members in St. Louis County.

Step-by-step explanation:

If the null hypothesis is that the probability of an African American being selected into the jury pool is 24 percent, then to find the expected number of African Americans in a jury pool of 200 people, we would use the following calculation:

Expected number = total number of people in jury pool × probability of selecting an African American

Expected number = 200 × 0.24

Expected number = 48

Therefore, if the null hypothesis is true, we would expect 48 African Americans to be in a jury pool of 200 people in St. Louis County.