Calculate the estimate for the standard error of the differe

Calculate the estimate for the standard error of the difference between two proportions for each of the following cases. (Give your answers correct to three decimal places.)

A. n₁ = 30, p₁\' = 0.6, n₂ = 30, and p₂\' = 0.3

B. n₁ = 32, p₁\' = 0.58, n₂ = 39, and p₂\' = 0.64

Solution

(a) Standard error =[p1*(1-p1)/n1 + p2*(1-p2)/n2] = sqrt(0.6*0.3/30 + 0.6*0.3/30) = 0.012

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(b) standard error = sqrt(0.58*0.4/32 + 0.65*0.35/39) = 0.1151