Please help me!! Seams Personal states on its website that 95% of orders are ready to ship within four working days. A simple random sample of 500 of the 6,000 orders received during the past month are pulled for an audit. The audit shows that 470 of these orders were shipped on time.

Part A: If Seams Personal really ships 95% of its orders within four working days, what is the probability that the proportion in the simple random sample of 500 orders is as small as the proportion in the auditors' sample or smaller? (5 points)

Part B: A customer says, "Seams Personal claims 95% 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 95% claim. (5 points) (10 points)