Independent Samples Z-Test - Comparing Two Proportions

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Where g_1 and g_2 are the two proportions and n_1 and n_2 are the sample sizes:

z=\frac{g_1-g_2}{\sqrt{d_{eff} \times g_{12}(1-g_{12})\frac{n_1+n_2}{n_1+n_2 - 2b}(n^{-1}_1+n^{-1}_2)}}

where:

g_{12}=\frac{n_1 g_1 + n_2 g_2}{n_1+n_2} ,
p = 2(1-\Phi(|z|)),
b is Bessel's correction, and
d_{eff} is Extra Deff.
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