Monogram Masters states on its website that 92% of its orders are ready to ship within five working days. A simple random sample of 200 of the 3,000 orders received during the past
month are pulled for an audit. The audit shows that 175 of these orders were shipped on time.
Part A: If Monogram Masters really ships 92% of its orders within five working days, what is the
probability that the proportion in the simple random sample of 200 orders is as small as the
proportion in the auditors' sample or smaller? (5 points)
Part B: A customer says, "Monogram Masters claims 92% of its orders are shipped on time, but
its sample proportion is less than that." Explain why the probability calculation shows the result
of the sample agrees with the 92% claim. (5 points) (10 points)