Statistics › Section J · Hypothesis testing with two samples › Topic J.4
Comparing two proportions
Does the vaccine cut infections? Does version B convert better? Comparing two proportions is the trial, the A/B test and the survey comparison in one recipe - with one new twist: under the null, the two samples share a single success rate, and the test's standard error is built from it.
In this topic
- Rates in competition
- The pooled proportion
- The two-proportion z statistic
- Conditions: counts in both samples
- Worked example: the vaccine trial
- Worked example: the companion interval
- Pooled for the test, unpooled for the interval
- Common mistakes to avoid
- Key takeaways
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