For students who first enrolled in two year public institutions in a recent semester, the proportion who earned a bachelor's degree within six years was 0.386 . The president of a certain college believes that the proportion of students who enroll in her institution have a lower completion rate.

(a) determine the null and alternative hypotheses,

(b) explain what it would mean to make a Type I error, and

(c) explain what it would mean to make a Type II error.