I am having a tought time with this question Of n, randomly selected male smokers, X, smoked filter cigarettes, whereas of n, randomly selected female smokers, X, smoked filter cigarettes. Let p, and p, denote theprobabilities that a randomly selected male and female, respectively, smoke filter cigarettes.(a) Show that (X,/n,) - (X2/n,) is an unbiased estimator for p, - P2. [Hint: E(X;) = np, for i = 1, 2.]E( X1E( X2n1n2n211=n1n2= P1 - P2(b) What is the standard error of the estimator in part (a)?P1(1-P1)Р+P2(1-P2)(c) How would you use the observed values x, and x, to estimate the standard error of your estimator?O You would put them directly into the formula to obtain the estimate of the standard error.O You would use them to estimate the necessary quantities and then put these into the formula.O You can not use the observed values to estimate the standard error of your estimator.O There is not enough information.(d) If n, = n, = 200, x, = 126, and x, = 164, use the estimator of part (a) to obtain an estimate of p, - P2. (Round your answer to three decimal places.)|-0.19(e) Use the result of part (c) and the data of part (d) to estimate the standard error of the estimator. (Round your answer to three decimal places.)0.041

Solution: Given information: n1= 200n2= 200x1= 126x2= 164p^1= x1n1= 126200= 0.63p2^= x2n2=…

Answered: of n, randomly selected male smokers,…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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