According to a Bureau of Labor Statistics release of February 20, 2015, 79% of American children under age 18 lived with at least one other sibling in 2014. Suppose that in a recent sample of 2000 American children under age 18, 1620 were living with at least one other sibling.
a. Using the critical-value approach and α = .05, test if the current percentage of all American children under age 18 who live with at least one other sibling is different from 79%.
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?