Point Estimate Calculator

Your details

Count of favorable outcomes observed in your sample. Must be a whole number between 0 and the number of trials.
Total number of observations or attempts. Must be a positive whole number at least equal to the number of successes.
The probability that the true population proportion lies within the interval built around this estimate. Higher confidence requires a larger z-score, which shifts the Wilson estimate.
Best point estimateCentral proportion - MLE is reliable
0.5875

The method automatically selected as most appropriate for your data

Recommended methodMLE
MLE0.5875
Wilson0.5835
Laplace0.5854
Jeffrey0.5864
z-score1.96
MLE0.5875
Wilson0.5835
Laplace0.5854
Jeffrey0.5864

Best point estimate: 58.75% using the MLE method.

  • Your sample shows 47 successes in 80 trials, a raw proportion of 58.75%.
  • Your proportion falls in the mid-range where Maximum Likelihood Estimation is most reliable. The raw proportion of 58.75% is the best estimate.

Next stepTo build a confidence interval around this point estimate, use the Wilson score interval or the Clopper-Pearson exact interval, both of which work well for proportions near 0 or 1.

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