In the report cited in Exercise 5.6.1 [A-8], the Census Bureau stated that for Americans in the age group 18-24 years, 64.8 percent had private health insurance. In the age group 25-34 years, the percentage was 72.1. Assume that these percentages are the population parameters in those age groups for the United States. Suppose we select a random sample of 250 Americans from the 18-24 age group and an independent random sample of 200 Americans from the age group 25-34; find the probability that p2 — Pi is less than 6 percent.