A radio talk show host with a large audience is interested in the proportion pp
ID: 3310362 • Letter: A
Question
A radio talk show host with a large audience is interested in the proportion pp of adults in his listening area who think the drinking age should be lowered to 18. He asks, 'Do you think the drinking age should be reduced to 18 in light of the fact that 18 year olds are eligible for military service?' He asks listeners to phone in and vote 'yes' if they agree the drinking age should be lowered to 18, and 'no' if not. Of the 100 people who phoned in, 70 answered 'yes.' Which of the following assumptions for inference about a proportion using a confidence interval are violated?
A. The sample size is large enough so that the count of successes np is 15 or more.
B. The population is at least ten times as large as the sample.
C. The data are an SRS from the population of interest.
D. The sample size is large enough so that the count of failures n(1p ) is 15 or more.
Explanation / Answer
here as sample has been taken from audience which does not represent population as whole therefore it is not an SRS
hence option C is correct