Any basketball fan knows that Shaquille O'Neal, one of the NBA's most dominant centers of the last twenty years, always had difficulty shooting free throws. Over the course of his career, his overall made
free-throw percentage was 53%. During one offseason, Shaq had been working with an assistant coach
on his free-throw technique. During the next season, a simple random sample showed that Shaq made
27 of 39 free-throw attempts,
a) Is there evidence at a 5% significance level that the proportion Shaq's made free-throws has
significantly improved. (10 Points)