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A study is being conducted to determine the percentage of people (18 years and older) who smoke, and a preliminary estimate of 0.33 is being used.
a) How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of .03? Please use 95% confidence.
b) Assuming this study uses the sample size you recommend in (a), and finds 273 smokers, please develop a 99% confidence interval estimate for the proportion of smokers in the population. Use the new point estimate, not .33.
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