NOTE The answer to part a is given in the back of the book w

23. The article \"An Evaluation of Football Helmets ., 1984: 233-237) reports that when each footbal pe helmets was subjected to a certain impact test, 24 showed damage. Let p denote the proportion of all helmets of this type that would show damage Under Impact Conditions\" (Amer. J. Sports Meod helmet in a random sample of 37 suspension-ty when tested in the prescribed manner. a. Calculate a 99% CI for p. b. What sample size would be required for the width of a 99% CI to be at most .10, irrespec- tive of p?

Solution