Cochran's formula with a finite-population correction, at p = 0.5. That assumption maximises variance, so every figure here is the conservative one.
| Calls reviewed | Margin of error (points) |
|---|---|
| 100 | ±9.7 |
| 200 | ±6.8 |
| 300 | ±5.5 |
| 600 | ±3.7 |
| 1000 | ±2.7 |
| 1600 | ±1.9 |
353calls to review, out of 4,200
coverage needed8.4%
per agent12
margin of error±5 pts
calls reviewed300
coverage7.1%
margin of error±5.5 pts
At this sample, a month-on-month move of less than 11 points cannot be distinguished from noise. Improvements smaller than that are not measurable, in either direction.