Technological changes in golf equipment have meant people, in particular professional golfers, are able to hit golf balls much farther. Golf Digest reported on a survey conducted involving 300 golfers in which the respondents were asked their views about the impact of new technologies on the game of golf. Before the study, a group of United States Golf Association (USGA) officials believed that less than 50% of golfers thought professional golfers should have different equipment rules than amateurs. The survey conducted by Golf Digest found 67% did not favor different equipment rules.
a. If the claim made by the USGA is to be tested, what should the null and alternative hypotheses be?
b. Based on the sample data, and an alpha level equal to 0.05, use the p -value approach to conduct the hypothesis test.