A survey was given to 198 Penn State students. The students were asked two questions (1) What is your gender? and (2) What is the fastest speed you have ever driven, > 100mph or 100 mph? Of the 108 females, 24.07% reported faster than 100 mph. Of the 90 males, 57.78% reported greater than 100 mph.
(a) What is the parameter of interest?
(b) Find a 95% CI for the difference in proportion for males and females would have driven greater than 100 mph.
(c) Does the interval calculated in part (b) contain 0? What does this tell us about whether there is a difference in the proportion?