Statistics & probability

A/B test significance calculator

Test whether the difference between two conversion rates is statistically significant.

A/B test significance calculator
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A clear answer. Here’s how.

Uses a pooled two-proportion z test: z = (p̂B − p̂A) ÷ √(p̂(1 − p̂)(1/nA + 1/nB)) with p̂ the combined conversion rate. The confidence interval for the difference uses the unpooled standard error. Relative uplift is the difference divided by A’s rate. The normal approximation needs at least about 10 conversions and non-conversions in each variant. It assumes independent visitors and a test planned in advance.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

Visitors in variant A
1000
Conversions in variant A
200
Visitors in variant B
1000
Conversions in variant B
250
Confidence level
95%
Alternative
B differs from A (two-sided)

Example result

Variant A conversion rate
20.00%
Variant B conversion rate
25.00%
Absolute difference (B − A)
5.00 percentage points
Relative uplift
25.00%
z statistic
2.6774
P-value (two-sided)
0.00741965
95% confidence interval for the difference
1.35% to 8.65%
Result
Significant at 95% confidence

Pooled two-proportion z test; the interval uses the unpooled standard error. Decide the sample size in advance and read the result once: stopping the moment p dips below the threshold inflates false positives.