10% baseline, 20% lift, 1,000 visitors a day
- Baseline conversion rate
- 10
- Minimum detectable lift (relative)
- 20
- Daily visitors
- 1000
- Share of traffic in the test
- 100
- Variants including control
- 2
- Confidence level
- 95%
- Statistical power
- 80%
Result Test duration (days): 8
Visitors needed per variant: 3,839
Total visitors needed: 7,678
Duration in weeks: 1.1
Conversion rate to detect: 12%
- Target rate p2 = 10% × (1 + 20%) = 12%
- z values: z(α/2) = 1.959964, z(β) = 0.841621
- n per variant = (1.959964 + 0.841621)² × [0.1×0.9 + 0.12×0.88] ÷ 0.02² = 3839 (rounded up)
- Total = 3839 × 2 variants = 7678
- Visitors in the test per day = 1000 × 100% = 1000
- Days = 7678 ÷ 1000, rounded up = 8
Detecting a move from 10% to 12% at 95% confidence and 80% power needs 3,839 visitors per arm, so a site with 1,000 daily visitors finishes in about eight days.