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(a) Determine the null and alternative hypotheses, (b) explain what it would mea

ID: 3238410 • Letter: #

Question

(a) Determine the null and alternative hypotheses, (b) explain what it would mean to make a type I error, and (c) explain what it would mean to make a type II Six years ago, 12.3% of registered births were to teenage mothers. A sociologist believes that the percentage has increased since then. A. H_0: p = 0.123, H_1: p 0.123 C. H_0: p = 0.123, H_1: p notequalto 0.123 (b) Which of the following is a typo 1 error? A. The sociologist rejects the hypothesis that the percentage of births to teenage mothers is 12.3%, when the true percentage is greater than 12.3%. B. The sociologist fails to reject the hypothesis that the percentage of births to teenage mothers is 12.3%, when the true percentage is greater than 12.3%. C. The sociologist rejects the hypothesis that the percentage of births to teenage mothers is 12.3%, when it is the true percentage. (c) Which of the following is a type II error? A. The sociologist rejects the hypothesis that the percentage of births to teenage mothers is 12 3%, when it is the true percentage. B. The sociologist fails to reject the hypothesis that the percentage of births to teenage mothers is 12.3%, when the true percentage is greater than 12.3%. C. The sociologist fails to reject the hypothesis that the percentage of births to teenage mothers is 12.3%, when it is the true percentage.

Explanation / Answer

(c) Ans: Option B.