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A/B Two-Proportion Z-Test — result sheet
Tests whether two conversion rates differ at 5% significance.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Pooled p; SE = √(p(1−p)(1/nA + 1/nB)); z = (pA − pB)/SE.
Pools both arms for the null standard error, then flags |z| > 1.96 as significant. Sign shows which arm leads.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Successes A — minimum 0; maximum 1000000000
- Trials A — Successes cannot exceed trials.; minimum 0; maximum 1000000000
- Successes B — minimum 0; maximum 1000000000
- Trials B — Successes cannot exceed trials.; minimum 0; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Successes A | 120 |
| Trials A | 1000 |
| Successes B | 150 |
| Trials B | 1000 |
z ≈ −1.963; significant at 5%.
Assumptions and limits
- Whole counts with 0 ≤ x ≤ n and n > 0 per arm.
- Large-sample normal approximation, two-sided 5% cutoff.
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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