Play Golf America program. The Professional Golf Association (PGA) and Golf Digest have developed the Play Golf America program, in which teaching professionals at participating golf clubs provide a free 10-minute lesson to new customers.
According to Golf Digest (July 2008), golf facilities that participate in the program gain, on average, $2,400 in green fees, lessons, or equipment expenditures. A teaching professional at a golf club believes that the average gain in green fees, lessons, or equipment expenditures for participating golf facilities exceeds $2,400.
(a) In order to support the claim made by the teaching professional, what null and alternative hypothesis should you test?
(b) Suppose you select α = .05. Interpret this value in the words of the problem.
(c) For α = .05, specify the rejection region of a large-sample test.