Question

Are you likely to purchase an item promoted by a celebrity on a social media​ site? According to a​ survey,

27% of social media users have made such a purchase.

Suppose that the survey had a sample size of

n=1000.

Construct a 90 %

(a)confidence interval estimate for the population proportion of social media users that have purchased an item promoted by a celebrity on a social media site. Round to the four decimal points.

(b) Repeat above and assuming the survey had a sample size of n=11,000. round to four decimal places

Answer 1

At = 1-0.90 = 0.10, two tailed critical value from standard normal table, = 1.645

Sample proportion, = 0.27

a) n=1000

90% confidence interval estimate for the population proportion

b) n=11000

90% confidence interval estimate for the population proportion