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by noloqy 4716 days ago
In statistics there is a "golden rule", that when np > 5 and n(1-p) > 5, then the normal distribution is a good approximation for the binomial distribution. Here n is the number of experiments and p is the conversion rate.

Our A/B testing data results from a Bernoulli experiment, and thus is binomially distributed. So indeed, if we use tests that assume a normal distribution, if we want to approximate the binomial distribution when p is 0.0001, n needs to be roughly 50k.