Paired t-Test of Proportions

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Where g_1 and g_2 are the two proportions, n is the sample size, and s_{g_1 - g_2} is an estimate of the standard error of the difference between the proportions:



p = 2\Pr(t_v \ge |t|),
v = n - 1,
s_{g_1 - g_2} is computed as the Standard Error of d,
the value for the ith observation is computed as d_i = x_1 - x_2,
x_1,x_2 \in {\{0,1\}} are the observed values on the two variables.