When trying to hire managers and executives, companies sometimes verify the academic credentials described by the applicants. one company that performs these checks summarized their findings for a six-month period. of the 91 applicants whose credentials were checked, 16 lied about having a degree.

(a) find the proportion of applicants who lied about having a degree, and find the standard error.

(b) consider these data to be a random sample of credentials from a large collection of similar applicants. give a 90%confidence interval for the true proportion of applicants who lie about having a degree.