We have studied the effect of the sample size on the margin of error of the conf

Question

We have studied the effect of the sample size on the margin of error of the confidence interval for a single proportion. In this exercise we perform some calculations to observe this effect for the two-sample problem. Suppose that p1 = 0.6 and p2 = 0.5, and n represents the common value of n1 and n2. Compute the 95% margins of error for the difference in the two proportions for n = 30, 40, 70, 90, 390, 490, and 990. Present the results in a table. (Give the large-sample margins of error. Round your answers to three decimal places.)

n m 30            40            70            90            390            490            990           

Explanation / Answer

as std error =(p1(1-p1)/n1+p2(1-p2)/n2)1/2

and for 95% CI, z=1.96

margin of error =z*std error

hence from above below are the value of margin of error for table

Sample size margin of error n m 30 0.2505 40 0.2169 70 0.1640 90 0.1446 390 0.0695 490 0.0620 990 0.0436

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