For students who first enrolled in two year public institutions in a recentsemester, the proportion who earned abachelor's degree within six years was 0.393. The president of a certain college believes that the proportion of students who enroll in her institution have a higher 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.

(a) State the hypotheses.

H0:

p

p

mu

sigma

less than

<

not equals

greater than

>

equals

=

H1:

p

p

sigma

mu

greater than

>

equals

=

less than

<

not equals

(Type integers or decimals. Do notround.)

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

A.

The president rejects the hypothesis that the proportion of students who earn abachelor's degree within six years is 0.393, when, infact, the proportion is 0.393.

B.

The president fails to reject the hypothesis that the proportion of students who earn abachelor's degree within six years is 0.393, when, infact, the proportion is 0.393.

C.

The president fails to reject the hypothesis that the proportion of students who earn abachelor's degree within six years is 0.393, when, infact, the proportion is greater than 0.393.

D.

The president rejects the hypothesis that the proportion of students who earn abachelor's degree within six years is 0.393, when, infact, the proportion is greater than 0.393.

(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 0.393, when, infact, the proportion is greater than 0.393.

B.

The president fails to reject the hypothesis that the proportion of students who earn abachelor's degree within six years is 0.393, when, infact, the proportion is greater than 0.393.

C.

The president fails to reject the hypothesis that the proportion of students who earn abachelor's degree within six years is 0.393, when, infact, the proportion is 0.393.

D.

The president rejects the hypothesis that the proportion of students who earn abachelor's degree within six years is 0.393, when, infact, the proportion is 0.393.

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