The Centers for Disease Control reported the percentage ofpeople 18 years of age and older who smoke (CDC website, December14, 2014). Suppose that a study designed to collect new data onsmokers and nonsmokers uses a preliminary estimate of theproportion who smoke of .35.
a. How large a sample should be taken to estimate the proportionof smokers in the population with a margin of error of .02 (to thenearest whole number)? Use 95% confidence.
b. Assume that the study uses your sample size recommendation inpart (a) and finds 520 smokers. What is the point estimate of theproportion of smokers in the population (to 4 decimals)?
c. What is the 95% confidence interval for the proportion ofsmokers in the population (to 4 decimals)?