5.6.1 According to the 2000 U.S. Census Bureau [A-8], in 2000, Ofio were not covered by private or government health insurance. in the neighboring star of the state of Pennsylvania, 4.9 percent of children were not covered by health insurance. Assume that of Proportions are parameters for the child populations of the respective states. If a random same of size 100 children is drawn from the Ohio population, and an independent random sample of 120 is drawn from the Pennsylvania population, what is the probability that the samples would vice difference, P1 - P2 of .09 or more? 5.6.2 In the report cited in Exercise 5.6.1 [A-8], the Census Bureau stated that for Americans in the group 18-24 years, 64.8 percent had private health insurance. In the age group 25-34 years percentage was 72.1. Assume that these percentages are the population parameters in those are groups for the United States. Suppose we select a random sample of 250 Americans from the 18 age group and an independent random sample of 200 Americans from the age group 25-34; find the probability that P2 - p, is less than 6 percent. 5.6.3 From the results of a survey conducted by the U.S. Bureau of Labor Statistics [A-9], it was estimated that 21 percent of workers employed in the Northeast participated in health care benefits programs that included vision care. The percentage in the South was 13 percent. Assume these percentages are population parameters for the respective U.S. regions. Suppose we select a simple random sample of