Golf-course designers have become concerned that old courses are becoming obsolete since new technology has given golfers the ability to hit the ball so far. Designers, therefore, have proposed that new golf courses need to be built expecting that the average golfer can hit the ball more than $235$ yards on average. Suppose a random sample of $118$ golfers be chosen so that their mean driving distance is $238.5$ yards, with a standard deviation of $47.9$.

Conduct a hypothesis test where $H_0: \mu = 235$ and $H_1:\mu > 235$ by computing the following:
(a) $\ $ test statistic $\ $
(b) $\ $ p-value $p =$
(c) $\ $ If this was a two-tailed test, then the p-value is