Consider random samples of size 82 drawn from population A w

Consider random samples of size 82 drawn from population A with proportion .45 and random samples of size 66 drawn from population B with proportion .18. Find the mean and standard error of the distribution of differences in sample proportions, p Overscript ^ EndScripts Subscript Upper A Baseline minus p Overscript ^ EndScripts Subscript Upper B .

Solution

mean =p1-p2=0.45-0.18 =0.27

standard error = sqrt(p1*(1-p1)/n1+p2*(1-p2)/n2)

=sqrt(0.45*(1-0.45)/82+0.18*(1-0.18)/66)

=0.07248901