Question: In a recent study, researchers evaluated the gender patterns of 4,208 families with exactly 2 children. The results are summarized below

Pattern Frequency

Boy-Boy 1085

Boy-Girl l086

Girl-Boy 1111

Girl-Girl 926

(A) For these data given that the first child born in a randomly selected two-child family is a girl, what is the probability that the second child will be a boy?

(B) Test the claim that if the first child in a two child family is a girl, there is a higher proportion of boys born as the second child.