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 junior college believes that the proportion of students who enroll in her institution have a

higher completion rate.

(a) State the null and alternative hypotheses in words.

(b) State the null and alternative hypotheses symbolically.

(c) Explain what it would mean to make a Type I error.

(d) Explain what it would mean to make a Type II error.