According to a Pew Research Center analysis of census data, in 2012, 20% of Amer

Question

According to a Pew Research Center analysis of census data, in 2012, 20% of American adults ages 25 and older had never been married. If we randomly sample 100 adults from this population, would it be unusual to see a sample with 13% who had never been married? 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/ Yes, this is unusual because the sample proportion has a 7% error which is more than the standard error of 4%. No, this is not unusual because 13% is less than 2 standard deviations from 20%. Yes, this is unusual because we expect the sample proportion to be 20%. No, this is not unusual because we expect the sample proportions to vary from 20%

Explanation / Answer

Solution:

Option a) Yes, this is unusual because the sample proportions has a 7% error whic is more than the standard error of 4%

Explanation:

here from central limit theorum

mean of sampling distribution =mean of population =0.2

and std deviation of sampling distribution =(p(1-p)/n)1/2 =0.04 or 4%

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