[15 10] Of n1 randomly selected male smokers, X1 smoked
Chapter 0, Problem SE5.5(choose chapter or problem)
[15 10] Of n1 randomly selected male smokers, X1 smoked filter cigarettes, whereas of n2 randomly selected female smokers, X2 smoked filter cigarettes. Denote by p1 and p2 the probabilities that a randomly selected male and female, respectively, smoke filter cigarettes. a. Show that X1 /n1X2 /n2 is an unbiased estimator of p1p2 and find its standard error. b. For n1 250, n2 150, x1 175, x2 120, and the estimator from (a), calculate the estimate of p1 p2 and estimate the standard error of the estimator
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