Are you likely to purchase an item promoted by a celebrity on a social media site? According to a survey, 26% of social media users have made such a purchase. Complete parts (a) and (b) below. a. Suppose that the survey had a sample size of n=700. 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. sas (Type an integer or a decimal. Round to four decimal places as needed.) b. Based on (a), 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? OA. Yes, with 90% confidence because all the values contained in the confidence interval are greater than 0.25. OB. No, because à 90% confidence interval is not indicative of a guarantee. A 99.9% confidence interval would be needed to make such a claim. OC. No, because the confidence interval contains proportion values that are less than 0.25. OD. Yes, with 90% confidence because the sample proportion is greater than a quarter, and it falls within the limits of the confidence interval estimate.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Are you likely to purchase an item promoted by a celebrity on a social media site? According to a survey, 26% of social
media users have made such a purchase. Complete parts (a) and (b) below.
a. Suppose that the survey had a sample size of n = 700. 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.
(Type an integer or a decimal. Round to four decimal places as needed.)
b. Based on (a), 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?
OA. Yes, with 90% confidence because all the values contained in the confidence interval are greater than 0.25.
B. No, because à 90% confidence interval is not indicative of a guarantee. A 99.9% confidence interval would be
needed to make such a claim.
C.
No, because the confidence interval contains proportion values that are less than 0.25.
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.
Transcribed Image Text:Are you likely to purchase an item promoted by a celebrity on a social media site? According to a survey, 26% of social media users have made such a purchase. Complete parts (a) and (b) below. a. Suppose that the survey had a sample size of n = 700. 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. (Type an integer or a decimal. Round to four decimal places as needed.) b. Based on (a), 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? OA. Yes, with 90% confidence because all the values contained in the confidence interval are greater than 0.25. B. No, because à 90% confidence interval is not indicative of a guarantee. A 99.9% confidence interval would be needed to make such a claim. C. No, because the confidence interval contains proportion values that are less than 0.25. 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.
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