(a) Determine the null and alternative hypotheses, (b) explain what it would mea
ID: 3263823 • 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 error. Six years ago, 12.3% of registered births were to teenage mothers. A sociologist believes that the percentage has increased since then. (a) Which of the following is the hypothesis test to be conducted? A. H_0: p = 0.123, H_1: p 0.123 (b) Which of the following is a type error? A. The sociologist rejects the hypothesis that the percentage of births to teenage mothers is 12.3%, when the true percentage. B. The sociologist rejects the hypothesis that the percentage of births to teenage mothers is 12.3%, when it is 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 the true percentage is greater than 12.3%. (c) Which of the following is a type error? A. The sociologist fails to reject the hypothesis that the percentage of births to teenage mothers is 12.3%, when it is the true percentage. B. The Sociologist rejects the hypothesis that the percentage of births to teenage mothers is 12.3%, when it is the true percentage. C. 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%.Explanation / Answer
a) Option C is correct
H0: p = 0.123
H1: p>0.123
Because sociologist believe that % has increased since then , so alternate hypothesis should have > sign
b) Option A is correct, Type 1 error is the probability of rejecting the null hypothesis when it is actually true
c) Option C is Correct. Type 1 error is the probability of Failing to reject the null hypothesis when it is actually false.
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