This is a one-sided hypothesis test for a proportion using two samples, and it can be run using a two sample z-test. If I use quota sampling and force the sample size of each group to be the same, or N = N1 = N2, then the test statistic is a z-statistic,
where is the average of
- 3 CONSERVATIVES, LIBERALS, AND OTHER POLITICAL PAWNS: HOW TO GAIN POWER AND INFLUENCE WITH SAMPLE SIZE CALCULATIONS
- from Beyond Basic Statistics: Tips, Tricks, and Techniques Every Data Analyst Should Know
- Publisher: John Wiley & Sons
- Released: May 2015
Here's a good explanation of the formula for calculating sample size for A/B tests.
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