Question: (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) 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?

H0: p=0.115, H1: p>0.115

H0: p=0.115, H1: p0.115

H0: p=0.115, H1: p<0.115

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

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%.

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%.

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

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

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%

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