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Two-Proportion A/B Test Z-Score Calculator — result sheet
Compare two independent proportions with a pooled two-proportion z statistic.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: z=(pB−pA)/√[p(1−p)(1/nA+1/nB)], where p is the pooled proportion.
The calculator reports both observed rates and the pooled standard error before forming the comparison statistic.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Group A successes — minimum 0; maximum 1000000000
- Group A trials — minimum 1; maximum 1000000000
- Group B successes — minimum 0; maximum 1000000000
- Group B trials — minimum 1; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Group A successes | 120 |
| Group A trials | 1000 |
| Group B successes | 150 |
| Group B trials | 1000 |
Group A = 12%, Group B = 15%; pooled z ≈2.02.
Assumptions and limits
- Successes are whole counts not greater than their group totals and the groups are independently sampled.
- The pooled normal approximation is used for a two-sided comparison statistic.
- P-values, randomization quality, practical importance, sequential peeking, and causal claims are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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