What Are The Properties Of Sampling Distribution Of Difference Between Proportions?

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Properties of sampling distribution of difference between proportions:
1.    Mean= Up1-p2= p1-p2     Where p is probability
2.    Variance=S2p1-p2=pIq1/n1+p2q2/n2   with replacement
3.    Variance=S2p1-p2=p1q1/n1{N1-n1/N1-1} + p2q2/n2{N2-n2/N2-1}    without replacement
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