66. The following data refer to Larry Bird’s results when shooting a pair of free throws in basketball. During two consecutive seasons in the National Basketball Association, Bird shot a pair of free throws on 338 occasions. On 251 occasions he made both shots; on 34 occasions he made the first shot but missed the second one; on 48 occasions he missed the first shot but made the second one; on 5 occasions he missed both shots.

(a) Use these data to test the hypothesis that Bird’s probability of making the first shot is equal to his probability of making the second shot.

(b) Use these data to test the hypothesis that Bird’s probability of making the second shot is the same regardless of whether he made or missed the first one.