If x1 and n1 are the counts of successes and trials in one sample, and x2 and n2 those in a second one, test the null hypothesis that the success probabilities $p1$ and $p2$ are the same. The result is h = 0 if the null hypothesis cannot be rejected at the 5% significance level, or h = 1 if the null hypothesis can be rejected at the 5% level.

Under the null, the test statistic zvalue approximately follows a standard normal distribution.

The size of h, pval, and zvalue is the common size of x, n1, x2, and n2, which must be scalars or of common size. A scalar input functions as a constant matrix of the same size as the other inputs.

[h, pval] = ztest2 (…) returns the p-value. That is the probability of observing the given result, or one more extreme, by chance if the null hypothesisis true.

[h, pval, zvalue] = ztest2 (…) returns the value of the test statistic.

[…] = ztest2 (…, Name, Value, …) specifies one or more of the following Name/Value pairs:

See also: chi2test, fishertest

Source Code: ztest2