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| n | Base size |
| s | Standard Deviation |
| N | Population |
| alpha | Desired confidence level |
The critical value, t, is calculated from a T-Table, based on the base size and desired alpha.
![]()
![]()
| n | Base size |
| ps | Sample proportion |
| N | Population |
| alpha | Desired confidence level |
The critical value, z, is calculated from a Z-Table, based on the desired alpha.
![]()
![]()
| D | Precision |
| s | Standard Deviation |
| N | Population |
| alpha | Desired confidence level |
The critical value, t, is calculated from a T-Table, based on the base size and desired confidence level. This is implemented iteratively. For the first calculation, the "default" critical value is used prior to calculating the base size. After this base size is calculated for the first time, the formula is re-executing using the calculated critical value. This process is repeated until the same base size is returned twice in a row.

![]()
| D | Precision |
| ps | Sample proportion |
| N | Population |
| alpha | Desired confidence level |
The critical value, z, is calculated from a Z-Table, based on the desired confidence level.
