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 overall sample size ???? and the individual sample sizes ???????? and ???????? when

???? = 0.03. Determine the values of ????, ????????, and ???????? when

(a) ????̇ ???? = 0.50 and ????̇ ???? = 0.54.

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

(c) ????̇ ???? = 0.30 and ????̇ ???? = 0.35.

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