Single adults: According to a Pew Research Center analysis of census data, in 20
ID: 3364583 • Letter: S
Question
Single adults: According to a Pew Research Center analysis of census data, in 2012, 20% of American adults ages 25 and older had never been married. Suppose that we select random samples from this population of American adults ages 25 and older. For each sample we then calculate the proportion that had never been married.
For which of the following sample sizes will the sampling distribution be approximately normal?
Wang, W., and Parker, K. (2014). Record Share of Americans Have Never Been Married. Pew Research Center. http://www.pewsocialtrends.org/2014/09/24/record-share-of-americans-have-never-married/
A) 25
B) 50
C) 75
Explanation / Answer
a) The sampling distribution will be normal for n=50,75.
Because for n=50 and 75 the sample is large sample and by large sample property it will be normal.
for n=25 the sampling distribution is binomial.