Question

Question 4 pe numbers in the boxes. Part 1: 1o points Single adults: According to a Pew Research Center analysis of census data, in 2012, 20% of ッPart 2:10points American adults ages 25 and older had never20 points been married. If we repeatedly obtain random samples of 100 adults, what will be the mean and standard deviation of the sampling distribution of sample proportions? Wang, W., and Parker, K. (2014). Record Share of Americans Have Never Been Married. Pew Research Center. http://www.pewsocialtrends.org/2014/o9/24/record-share- of-americans-have-never-married/ Mean (round to 2 decimal places AFTER completing all calculations): Standard deviation (Cround to 2 decimal places AFTER completing all calculations):

Answer 1

We have here, n = 100, p=0.20

Mean for sampling distribution of sample proportion

$\mu _{\hat{p}}=p=0.20$

Standard deviation for sampling distribution of sample proportion.

$\sigma _{\hat{p}}=\sqrt{\frac{p(1-p)}{n}}$

  $=\sqrt{\frac{0.20(1-0.20)}{100}}$

= 0.04