You may need to use the appropriate appendix table or technology to answer this question.
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 fraud—the practice of someone clicking on an ad solely for the purpose of driving up advertising revenue—has become a problem. Businessweek reports that 40 percent of advertisers claim they have been a victim of click fraud. Suppose a simple random sample of 340 advertisers will be taken to learn more about how they are affected by this practice. (Round your answers to four decimal places.)
(a)
What is the probability that the sample proportion will be within ±0.04 of the population proportion experiencing click fraud?
(b)
What is the probability that the sample proportion will be greater than 0.45?