K 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. 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. OB. Yes, with 95% confidence because the sample proportion is greater than a quarter, and it falls within the limits of the confidence interval estimate. v by SAT 11 18

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
K
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?
OSTSO
(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?
OA. 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.
OB. Yes, with 95% confidence because the sample proportion is greater than a quarter, and it falls within the
limits of the confidence interval estimate.
OC. No, because the confidence interval contains proportion values that are less than 0.25.
OD. Yes, with 95% confidence because all the values contained in the confidence interval are greater than 0.25.
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.
SAN
(Round to four decimal places as needed.)
Based on the confidence interval created using a sample size of 10,000, can you Elaim that more than a quarter of
mated babitial din Litu
Next
v by
SAT
11
18
2
0 of 30 quest
Transcribed Image Text:K 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? OSTSO (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? OA. 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. OB. Yes, with 95% confidence because the sample proportion is greater than a quarter, and it falls within the limits of the confidence interval estimate. OC. No, because the confidence interval contains proportion values that are less than 0.25. OD. Yes, with 95% confidence because all the values contained in the confidence interval are greater than 0.25. 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. SAN (Round to four decimal places as needed.) Based on the confidence interval created using a sample size of 10,000, can you Elaim that more than a quarter of mated babitial din Litu Next v by SAT 11 18 2 0 of 30 quest
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