(a) Determine the null and alternative hypotheses, (b) explain what it would mea
ID: 3236756 • 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 error. Six years ago, 11.2% 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. Upper H0: pequals=0.112, Upper H1: pless than<0.112 B. Upper H0: pequals=0.112, Upper H1: pgreater than>0.112 C. Upper H0: pequals=0.112, Upper H1: pnot equals0.112 (b) Which of the following is a type I error? A. The sociologist fails to reject the hypothesis that the percentage of births to teenage mothers is 11.2%, when the true percentage is greater than 11.2%. B. The sociologist rejects the hypothesis that the percentage of births to teenage mothers is 11.2%, when it is the true percentage. C. The sociologist rejects the hypothesis that the percentage of births to teenage mothers is 11.2%, when the true percentage is greater than 11.2 %. (c) Which of the following is a type II error? A. The sociologist fails to reject the hypothesis that the percentage of births to teenage mothers is 11.2%, when the true percentage is greater than 11.2 %. B. The sociologist rejects the hypothesis that the percentage of births to teenage mothers is 11.2%, when it is the true percentage. C. The sociologist fails to reject the hypothesis that the percentage of births to teenage mothers is 11.2%, when it is the true percentage.
Explanation / Answer
a)
Null hypothesis Ho : P 0.112 (Ho : P = 0.112 also correct)
Alternative hypothesis H1 P > 0.112
This is upper tailed test
Option B is correct
b) Type I error means rejecting the null hypothesis
The sociologist rejects the hypothesis that the % of birth to teenage mothers is 11.2% when it is the true percentage
Option B is correct
c) Type II errors means fail to reject the null hypothesis
The sociologist fails to reject the hypothesis that the % of birth to to teenage mothers is 11.2% , when he true % is greater than 11.2%
Option A is correct
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