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 rho_1 = 0.6 an rho_2 = 0, 5, and n represents the common value of n_1 and n_2. Compute the 95% margins of error for the difference In the two proportions or -40, 50, 80, 100, 400, 500, and 1000. Present the results In a table. (Give the large sample a margins of error. Round your answers to three decimal places.)

Explanation / Answer

here p1=0.6 and p2=0.5 ; n1=n2=n

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

and for 95% CI, z=1.96

hence margin of error =z*std error

hence

pls revert

n m 40 0.217 50 0.194 80 0.153 100 0.137 400 0.069 500 0.061 1000 0.043

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