What do you value most when shopping in a retail store? According to a survey,

27% of consumers value personalized experience most.

a. Suppose that the survey had a sample size of n= 1000. Construct a 90% confidence interval estimate for the population proportion of consumers that value personalized experience most when shopping in a retail store?

____ nothing

(Round to four decimal places as needed.)

b. Based on (a), can you claim that more than a quarter of all consumers value personalized experience most when shopping in a retail store?

A. Yes, with 90% confidence because all the values contained in the confidence interval are greater than 0.25.

B. No, because the confidence interval contains proportion values that are less than 0.25.

C. No, because 90% confidence interval is not indicative of a guarantee. A 99.9% confidence interval would be needed to make such a claim.

D. Yes, with 90% confidence because the sample proportion is greater than a quarter, and it falls within the limits of the confidence interval estimate.

c. Repeat parts (a) and (b), assuming that the survey had a sample size of n= 10,000. Construct a 90% 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.