This calculator finds the most suitable point estimate from a given number of successes, number of trials, and confidence interval using 4 available point estimate formulas:

```
Maximum Likelihood Estimation Point Estimate: x / n
Wilson Point Estimate: (x + z²/2) / (n + z²)
Jeffrey Point Estimate: (x + 0.5) / (n + 1)
Laplace Point Estimate: (x + 1) / (n + 2)
```

Here, `x`

is the number of successes, `n`

is the number of trials, and `z`

is the Z-score associated with the confidence interval.

The calculator below will compute the 4 point estimates and automatically select the best one:

Best Estimate = **0.35840**

MLE Point Estimate = 0.34286

Wilson Point Estimate = 0.35840

Jeffrey Point Estimate = 0.34722

Laplace Point Estimate = 0.35135

Once you get the estimates, you need to choose the most accurate one. You can do so by following these rules:

- If
`MLE ≤ 0.5`

, use the Wilson Point Estimate. - If
`MLE < 0.9`

, use MLE Point Estimate. - If
`MLE < 1.0`

, use the Jeffrey or Laplace Point Estimate, whichever is smallest. - If
`MLE = 1.0`

, use the Laplace Point Estimate

Hope this calculator helps. Happy analyzing!