(a) Determine the null and alternativehypotheses, (b) explain what it would mean to make a type Ierror, and(c) explain what it would mean to make a type II error.

Six yearsago, 11.5% of registered births were to teenage mothers. A sociologist believes that the percentage has decreased since then.

(a) Which of the following is the hypothesis test to beconducted?

A.

H0: p=0.115, H1: p>0.115

B.

H0: p=0.115, H1: p0.115

C.

H0: p=0.115, H1: p<0.115

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

A.

The sociologist fails to reject the hypothesis that the percentage of births to teenage mothers is 11.5%, when the true percentage is less than 11.5%.

B.

The sociologist rejects the hypothesis that the percentage of births to teenage mothers is 11.5%, when the true percentage is less than 11.5%.

C.

The sociologist rejects the hypothesis that the percentage of births to teenage mothers is 11.5%, when it is the true percentage.

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

A.

The sociologist rejects the hypothesis that the percentage of births to teenage mothers is 11.5%, when it is the true percentage.

B.

The sociologist fails to reject the hypothesis that the percentage of births to teenage mothers is 11.5%, when it is the true percentage.

C.

The sociologist fails to reject the hypothesis that the percentage of births to teenage mothers is 11.5%, when the true percentage is less than 11.5%