Among US adults from 1999-2000, American Indians/Alaska Natives had the greatest prevalence of smoking (p1=0.40); Chinese Americans had the lowest prevalence (p2=0.12). Suppose we take an SRS of 1000 individuals from each of these groups (n1=n2=1000). Describe the sampling distribution of the prevalence difference p1-p2. What is the probability a sample will show a prevalence difference of 0.26 or less? How likely is it for a sample to show no difference in prevalences?