11.51 [EX11-51] Most golfers are probably happy to play 18 holes of golf whenever they get a chance to play. Ben Winter, a club professional, played 306 holes in 1 day at a charity golf marathon in Stevens, Pennsylvania. A nationwide survey conducted by Golf magazine over the Internet revealed the following frequency distribution of the most number of holes ever played by the respondents in 1 day:

Most Holes Played in 1 Day Percent Most Holes Played in 1 Day Percent 18 5 37 to 45 20 19 to 27 12 46 to 54 18 28 to 36 28 55 or more 17 Source: Golf, “18 Is Not Enough”

Suppose one of your local public golf courses asks the next 200 golfers who tee off to answer the same question. The following table summarizes their responses:

Most Holes Played in 1 Day Number Most Holes Played in 1 Day Number 18 12 37 to 45 44 19 to 27 35 46 to 54 35 28 to 36 60 55 or more 14 Does the distribution of largest number of holes played by “marathon golfers” at your public course differ from the distribution compiled by Golf magazine using responses polled on the Internet? Test at the 0.01 level of significance.

a. Solve using the p-value approach.

b. Solve using the classical approach.