In: Statistics and Probability
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, 1267 were living with two parents. a. Using the critical value approach and 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%. Round your answer for z to two decimal places. zobserved =Enter your answer; z_observed zcritical left =Enter your answer; z_critical left zcritical right =Enter your answer; z_critical right We Choose your answer; We the null hypothesis. We conclude that the current percentage of all children under the age of 18 years in the United States who live with two parents is Choose your answer; We conclude that the current percentage of all children under the age of 18 years in the United States who live with two parents is 69%. b. How do you explain the Type I error in part a? What is the probability of making this error in part a? The Type I error occurs when we conclude that the current percentage of all children under the age of 18 years in the United States who live with two parents is Choose your answer; The Type I error occurs when we conclude that the current percentage of all children under the age of 18 years in the United States who live with two parents is 69%, when it is Choose your answer; when it is 69%. P(Type I error) =Enter you answer; P(Type I error) c. Calculate the p-value for the test of part a. What is your conclusion if Round your answer for the p-value to four decimal places. p-value =Enter you answer; p-value For we Choose your answer; For alpha=0.06, we