(Answered) Question in a survey conducted for american express 27 of

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Question: In a survey conducted for American Express, 27% of small business owners indicated that they never check in with the office when on vacation ( Snapshots, usatoday.com, April 18, 2006.). The article did not disclose the sample size used in the study.

a. Suppose that the survey was based on 500 small business owners. Construct a 95% confidence interval estimate for the population proportion of small business owners who never check in with the office when on vacation.

b. Suppose that the survey was based on 1,000 small business owners. Construct a 95% confidence interval estimate for the population proportion of small business owners who never check in with the office when on vacation.

c. Discuss the effect of sample size on the confidence interval estimate.

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