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Two Proportion Z Test Calculator
Test whether two sample proportions differ using a pooled two-proportion z test.
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Test whether two sample proportions differ using a pooled two-proportion z test.
Two Proportion Z Test Estimator
Enter your numbers below for an instant estimate.
0
💡 Tip: z = (p1 – p2) / sqrt(p(1 – p)(1/n1 + 1/n2)), p pooled.
How It Works
Key concepts behind this calculator
1
Enter Values
Fill in each field with your own numbers.
2
Calculate
Results update as you change the inputs.
3
Review
Read the breakdown and the explanation.
4
Adjust
Change values to compare scenarios.
Quick Reference Guide
Two Quick Guide
Typical values for reference.
| Sample 1 | Sample 2 | Statistic | p-value |
|---|---|---|---|
| 45/200 | 30/190 | z 1.68 | p = 0.0928 |
| 50/100 | 35/100 | z 2.15 | p = 0.0319 |
| 120/400 | 90/400 | z 2.41 | p = 0.0159 |
| 15/60 | 12/70 | z 1.10 | p = 0.2709 |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Two Proportion Z Calculator FAQ
Answers to common questions about this calculator.
It checks if two population proportions differ.
Combined successes divided by combined sample size.
At least 10 successes and failures in each group.
The chance of a result this extreme if proportions were equal.