Mimi was 5th seed in 2014 UMUC Tennis Open that took place in August. In this tournament, she won 75 of her 100 serving games. Based upon UMUC Sports Network, she wins 80% of serving games in her five year tennis career.
(a) Determine a 90% confidence interval estimate of proportion of serving games Mimi won. (Show work and round answer to three decimal places)
(b) Based upon the confidence interval estimate you got in part (a), is this tournament result consistent with her career record of 80%? Why or why not? Please explain your conclusion.