# Question

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?

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?

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