Advertisers contract with Internet service providers and search engines to place ads on websites. They pay a fee based on the number of potential customers who click on their ad. Unfortunately, click fraudthe practice of someone clicking on an ad solely for the purpose of driving up advertising revenuehas become a problem. According toBusinessWeek32% of advertisers claim they have been a victim of click fraud. Suppose a simple random sample of440 advertisers will be taken to learn more about how they are affected by this practice.

a.What is the probability that the sample proportion will be within+-0.02of the population proportion experiencing click fraud?

b.What is the probability that the sample proportion will be greater than0.37?