(See Solution) In a recent study, researchers evaluated the gender patterns of 4,208 families with exactly 2 children. The results are summarized below Pattern


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

  1. 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?
  2. 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.

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