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Sample proportion for each group

Confidence Interval

\( D \, \pm \, Z_{\alpha/2} \cdot se_D \)

\( \left( \hat{\pi}_2 - \hat{\pi}_1 \right)\, \pm\, Z_{\alpha/2}\, \sqrt{\dfrac{\hat{\pi}_1 (1-\hat{\pi}_1 )}{N_1}+\dfrac{\hat{\pi}_2 (1-\hat{\pi}_2 )}{N_2} } \)