1.According to a National Center for Health Statistics report based on data collected in 1985, 30% of Americans smoke cigarettes. Suppose you were to select a random sample of 20 Americans today and found that 1 smokes cigarettes.

A.Using the binomial distribution and assuming that the percentage of Americans that smokes cigarettes has not changed since 1985, determine the probability that there would be 1 or fewer cigarette smokers in your randomly selected sample.

B.Provide a thorough justification that the binomial distribution is an appropriate model for this case.

C.Do the results in part A cause you to suspect that the percentage of Americans who smoke cigarettes has changed since 1985? Why or why not.