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a. Suppose that the survey had a sample size of in =700. Construct a 99\$ confidence interval extimate for the population proportion of consumers that value personalized fopelince most wher shopping in a retail store? (Round to four decimal places as needed.) b. Based on (a), can you claim that more than a cuarter of all consumers value personalized expecionce most whon shopeing in a retall store? A. Yes, with 95% confidence because the sample proportion is greater than a quarter, and it falls within the limits of the contidence interval estmase B. No, because a 95% confidence interval is not indicative of a guarantee. A999% confidence inlerval would be needed to make such a claim C. Yes, with 95% confidence because all the valuss contained in the confidence interval are greater than 0.25 . D. No, because the confidence interval contairs proportion values that are less than 0.25 c. Repeat parts (a) and (b), assuming that the survey had a sample size of n=10.000 Construct a 95% confdence interval estimate for the population proporion of soclal media users that have purchased an item peomotad by a chibority on a spolat medis sitie. 55 (Round to four decimal places as needed.) Based on the confidence interval created using a sample size of 10,000 , can you chaim that more han a quarter of al social media users have purchased an ilem promoled by a celebrify on a soci meda site? A. Yes, with 95\%s confdence because ali the values contared in the confidence interval are greater than 025 8. Yes, with 95% confidence because the sample proportian is greater than a quarter, and it talls within the limas of the conldence interval estimate c. No, because a 95% con5dence interval is not indicative of a gaarantee. A 99.9% confdence interval would be needed to make such a clam C. Yos, with 95% confidonce because all the values contained in the confidence interval are greater than 0.25 . D. No, because the confidence interval contains peoportion values that are less than 025 . 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 medis users that have purchased an item promoled by a coleberity on a social modia ste. 55 (Round to four decimal places as needed.) Based on the confdence interval created using a sample size of 10,000 , can you claim that more than a quarter of al social metio users have purchased an hem promoted by a ceherity on a socin media site? A. Yes, with 95% confidence because all the values contained in the confidence irherval are greater than 0.25 : B. Yos, with 95% confidence because the sample proportion is greater than a quartef, and h tals wittin the limits of the corfidence interval esimate. C. No, because a 95% confidence interval is not indicative of a guarantee. A 99.9% contsence interval would be needed to make such a claim. D. No, because the confdence interval coctains proporfion values that are less than 0.25 . d. Discuss the effect of sample size on confidence interval estimation. Choose the correct answer below. A. Alarger sample size resulte in a wider confidence interval, holding oventhing ese consant. B. A larger sample size has no etlect on a corfidence inserval, holding overything also constam. c. A targer sample size resulte in a narrower confidence interval, holding everything alse constam. D. It is impossble to compare confidence interval estimates with difference sample sizes because the sartqie size is part of the formula for fonding confidence inheva esimale liwis