Discuss the below:
Q: The 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, golf facilities that participate in the program gain, on average, $2400 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.