In 2014, the Centers for Disease Control and Prevention reported the percentage of people 18 of age and older who smoke. Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.30. a. How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02? Use 95% confidence. Remove all commas from your answer before submitting. Round your answer to next whole number. b. Assume that the study uses your sample size recommendation in part (a) and finds 520 smokers. What is the point estimate of the proportion of smokers in the population? (to 4 decimals) c. What is the 95% confidence interval for the proportion of smokers in the population? (to 4 decimals) X X

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In 2014, the Centers for Disease Control and Prevention reported the percentage of people 18
of age and older who smoke. Suppose that a study designed to collect new data on smokers and
nonsmokers uses a preliminary estimate of the proportion who smoke of 0.30.
a. How large a sample should be taken to estimate the proportion of smokers in the population with
a margin of error of 0.02? Use 95% confidence. Remove all commas from your answer before
submitting. Round your answer to next whole number.
b. Assume that the study uses your sample size recommendation in part (a) and finds 520
smokers. What is the point estimate of the proportion of smokers in the population? (to 4 decimals)
c. What is the 95% confidence interval for the proportion of smokers in the population? (to 4
decimals)
X
Transcribed Image Text:In 2014, the Centers for Disease Control and Prevention reported the percentage of people 18 of age and older who smoke. Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.30. a. How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02? Use 95% confidence. Remove all commas from your answer before submitting. Round your answer to next whole number. b. Assume that the study uses your sample size recommendation in part (a) and finds 520 smokers. What is the point estimate of the proportion of smokers in the population? (to 4 decimals) c. What is the 95% confidence interval for the proportion of smokers in the population? (to 4 decimals) X
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