Just as the difference between two sample means is normally distributed for large
Chapter 7, Problem 7.84(choose chapter or problem)
Just as the difference between two sample means is normally distributed for large samples, so is the difference between two sample proportions. That is, if Y1 and Y2 are independent binomial random variables with parameters (n1, p1) and (n2, p2), respectively, then (Y1/n1) (Y2/n2) is approximately normally distributed for large values of n1 and n2. a Find E Y1 n1 Y2 n2 . b Find V Y1 n1 Y2 n2 .
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