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2. Let X1 be a binomial distributed rv with parameters n1 and p1, and let X2 be a binomial
distributed rv with parameters n2 and p2. Consider ^=n1X1n2X2 as a point estimator for the
difference between the proportions =p1p2. (a) Show that ^ is an umbiased estimator for . (b) Find
the formula for the standard error of ^.

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2. Let X1 be a binomial distributed rv with parameters n1 and p1, and.pdf

  • 1. 2. Let X1 be a binomial distributed rv with parameters n1 and p1, and let X2 be a binomial distributed rv with parameters n2 and p2. Consider ^=n1X1n2X2 as a point estimator for the difference between the proportions =p1p2. (a) Show that ^ is an umbiased estimator for . (b) Find the formula for the standard error of ^.