The Centers for Disease Control reported the percentage of people 18 years of age and older who smoke (CDC website, December 14, 2014). 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. [3 pts]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. b. [2 pt]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? c. [5 pts]What is the 95% confidence interval for the proportion of smokers in the population?