What do you value most when shopping in a retail​ store? According to a​ survey, 26​% of consumers value personalized ex

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answerhappygod
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What do you value most when shopping in a retail​ store? According to a​ survey, 26​% of consumers value personalized ex

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What do you value most when shopping in a retail​ store?According to a​ survey,
26​%
of consumers value personalized experience most. Completeparts​ (a) through​ (d) below.
Question content area bottom
Part 1
a. Suppose that the survey had a sample size of
n=1000.
Construct a
95%
confidence interval estimate for the population proportion ofconsumers that value personalized experience most when shopping ina retail​ store?
enter your response here≤π≤enter your response here
​(Round to four decimal places as​ needed.)
Part 2
b. Based on​ (a), can you claim that more than a quarter ofall consumers value personalized experience most when shopping in aretail​ store?
A.
​No, because the confidence interval contains proportion valuesthat are less than 0.25.
B.​Yes, with
95%
confidence because the sample proportion is greater thana​ quarter, and it falls within the limits of the confidenceinterval estimate.
C.​No, because a
95%
confidence interval is not indicative of a guarantee.A​ 99.9% confidence interval would be needed to make such aclaim.
D.​Yes, with
95%
confidence because all the values contained in the confidenceinterval are greater than 0.25.
Part 3
c. Repeat parts​ (a) and​ (b), assuming that thesurvey had a sample size of
n=11,000.
Construct a
95%
confidence interval estimate for the population proportion ofsocial media users that have purchased an item promoted by acelebrity on a social media site.
enter your response here≤π≤enter your response here
​(Round to four decimal places as​ needed.)
Part 4
Based on the confidence interval created using a sample sizeof
11,000​,
can you claim that more than a quarter of all social media usershave purchased an item promoted by a celebrity on a socialmedia​ site?
A.​Yes, with
95%
confidence because all the values contained in the confidenceinterval are greater than 0.25.
B.​Yes, with
95%
confidence because the sample proportion is greater thana​ quarter, and it falls within the limits of the confidenceinterval estimate.
C.
​No, because the confidence interval contains proportion valuesthat are less than 0.25.
D.​No, because a
95%
confidence interval is not indicative of a guarantee.A​ 99.9% confidence interval would be needed to make such aclaim.
Part 5
d. Discuss the effect of sample size on confidence intervalestimation.
Choose the correct answer below.
A.
A larger sample size results in a widerconfidence​ interval, holding everything else constant.
B.
A larger sample size results in a narrowerconfidence​ interval, holding everything else constant.
C.
A larger sample size has no effect on aconfidence​ interval, holding everything else constant.
D.
It is impossible to compare confidence interval estimates withdifference sample sizes because the sample size is part of theformula for finding confidence interval estimate limits.
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