According to the U.S. Census Bureau, 69% of children under the age of 18 years in the United
States lived with two parents in 2009. Suppose that in a recent sample of 2000 children, 1298 were living with two parents.
a. Using the critical value approach and α = .05, test whether the current percentage of all children under the age of 18 years in the United States who live with two parents is different from 69%.
b. How do you explain the Type I error in part a? What is the probability of making this error in part a?
c. Calculate the p-value for the test of part a. What is your conclusion if α = .05?