wunder beta📘 How to compare two proportions
A proportion is successes divided by eligible cases — for example, 42 renewals in 200 customers is 0.21. Match definitions and denominators before comparing groups.
What you’ll learn
- Compare proportionsDefine proportions, express an absolute difference, and frame numerators and denominators clearly.Fair comparison starts with matched definitions and an ordered difference in proportion units.
- Intervals and testsBuild and interpret a difference interval and run a pooled two-proportion test under the equal-rates null.Intervals show plausible differences; pooling supplies the null standard error.
- Report the comparisonCheck design assumptions, choose difference or ratio, and report limits on causal claims.Design quality and effect measure belong in the same conclusion as the estimate.
Questions this course answers
What is the most direct absolute comparison of two proportions?
The difference p1 minus p2 reports the separation in proportion units, usually percentage points.
Why is a pooled proportion used in the usual null test?
The pooled estimate supplies the test standard error under the equal-proportions null model.
What does an interval for p1 minus p2 that includes zero indicate?
Zero represents equal population proportions; inclusion means the method does not exclude that value.
Which statement best distinguishes a difference from a risk ratio?
The measures answer different questions: absolute separation versus relative multiplication.
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