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What do you value most when shopping in a retail store? According to a survey, 27% of consumers value personalized experience most. Complete parts (a) through (d) below. a. Suppose that the survey had a sample size of n = 900. Construct a 95% confidence interval estimate for the population proportion of consumers that value personalized experience most when shopping in a retail store? STS (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? O A. Yes, with 95% confidence because all the values contained in the confidence interval are greater than 0.25. O B. Yes, with 95% confidence because the sample proportion is greater than a quarter, and it falls within the limits of the confidence interval estimate. O C. No, because the confidence interval contains proportion values that are less than 0.25. O D. No, because a 95% confidence interval is not indicative of a guarantee. A 99.9% confidence interval would be needed to make such a claim. c. Repeat parts (a) and (b), assuming that the survey had a sample size of n = 10,000. Construct a 95% 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. STS (Round to four decimal places as needed.) Based on the confidence interval created using a sample size of 10,000, can you claim that more than a quarter of all social media users have purchased an item promoted by a celebrity on a social media site? A. No, because the confidence interval contains proportion values that are less than 0.25. B. Yes, with 95% confidence because all the values contained in the confidence interval are greater than 0.25. O C. No, because a 95% confidence interval is not indicative of a guarantee. A 99.9% confidence interval would be needed to make such a claim. D. Yes, with 95% confidence because the sample proportion is greater than a quarter, and it falls within the limits of the confidence interval estimate. d. Discuss the effect of sample size on confidence interval estimation