For students who first enrolled in two year public institutions in a recentsemester, the proportion who earned abachelor's degree within six years was 0.397. 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.

(c)

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

h0=

h1=

(b) Which of the following is a Type Ierror?

A.

The president fails to reject the hypothesis that the proportion of students who earn abachelor's degree within six years is 0.397, when, infact, the proportion is 0.397.

B.

The president rejects the hypothesis that the proportion of students who earn abachelor's degree within six years is 0.397, when, infact, the proportion is 0.397.

C.

The president rejects the hypothesis that the proportion of students who earn abachelor's degree within six years is 0.397, when, infact, the proportion is less than 0.397.

D.

The president fails to reject the hypothesis that the proportion of students who earn abachelor's degree within six years is 0.397, when, infact, the proportion is less than 0.397.

(c) Which of the following is a Type IIerror?

A.

The president rejects the hypothesis that the proportion of students who earn abachelor's degree within six years is 0.397, when, infact, the proportion is less than 0.397.

B.

The president fails to reject the hypothesis that the proportion of students who earn abachelor's degree within six years is 0.397, when, infact, the proportion is less than 0.397.

C.

The president rejects the hypothesis that the proportion of students who earn abachelor's degree within six years is 0.397, when, infact, the proportion is 0.397.

D.

The president fails to reject the hypothesis that the proportion of students who earn abachelor's degree within six years is 0.397, when, infact, the proportion is 0.397.