Question: In developing the sampling plan for estimating the difference between two proportions ???????? and ???????? (i.e., ???????? ????????) with independent samples, suppose the goal

In developing the sampling plan for estimating the difference between two proportions

???????? and ???????? (i.e., ???????? − ????????) with independent samples, suppose the goal is to minimize the bound on the error of estimation for an overall sample size fixed at

???? = 100. Determine the sample sizes ???????? and ???????? when

(a) ????̇ ???? = 0.60 and ????̇ ???? = 0.50.

(b) ????̇ ???? = 0.20 and ????̇ ???? = 0.50.

(c) ????̇ ???? = 0.75 and ????̇ ???? = 0.80.

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