Question

Appeals Court Justice Ralph Adam Whine is concerned that plea bargains are permitted in too many criminal cases. He suspects that the local District Attorney, Susan Blessner, is accepting more plea bargains just to jerk his chain. Whine knows that 80 percent of all cases in the entire state result in a plea bargain. DA Blessner handled 200 cases this month. Whine takes a sample of 100 cases and finds plea bargains in 88. What can you tell Justice Whine about this?

Answer 1

We need to solve this problem using hypothesis for population proportion.

Here the population proportion is the case in the entire state which result in a plea bargain = P = 0.08

The sample proportion is = p = 88/100 = 0.88

We need to find if DA Blessner is handing out plea bargains more than the population proportion.

We conclude that DA Blessner is not handing out plea bargains more than the population proportion.