A company that stocks shelves in supermarkets is considering expanding the supply that it delivers. Items that are not sold must be discarded at the end of the day, so it only wants to schedule additional deliveries if stores regularly sell out. A break-even analysis indicates that an additional delivery cycle will be profitable if items are selling out in more than 60% of markets. A survey during the last week in 45 markets found the shelves bare in 35.
(a) State the null and alternative hypotheses.
(b) Describe a Type I error and a Type II error in this context.
(c) Find the p-value of the test. Do the data supply enough evidence to reject the null hypothesis if the α-level is 0.05?