Simplified Independent Complex Samples T-Test - Comparing Two Proportions

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Where [math]\displaystyle{ g_1 }[/math] and [math]\displaystyle{ g_2 }[/math] are the two proportions, [math]\displaystyle{ m }[/math] and [math]\displaystyle{ n }[/math] are their respective sample sizes and [math]\displaystyle{ se_1 }[/math] and [math]\displaystyle{ se_2 }[/math] are their respective Standard Errors:

[math]\displaystyle{ t=\frac{g_1-g_2}{\sqrt{se^2_1 + se^2_2}} }[/math],


[math]\displaystyle{ p = 2\Pr(t_v \ge |t|) }[/math], and
[math]\displaystyle{ v = m + n - 1 }[/math].