Examples
Examples
Try the starting example
- Successful tasks (count)
- 16
- Attempted independent tasks (count)
- 20
- Normal critical value z for requested two-sided interval
- 1.959963984540054
- Observed success fraction
- 0.8
- Wilson lower limit
- 0.583983
- Wilson upper limit
- 0.919342
Try another scenario
- Successful tasks (count)
- 18
- Attempted independent tasks (count)
- 20
- Normal critical value z for requested two-sided interval
- 1.959963984540054
- Observed success fraction
- 0.9
- Wilson lower limit
- 0.698966
- Wilson upper limit
- 0.972134
Calculation method
Calculation method
Observed success fraction
p=successes/attempts.
Wilson lower limit
(p+z²/(2n)−z√(p(1−p)/n+z²/(4n²)))/(1+z²/n).
Wilson upper limit
Same center plus square-root term; clamp numerical result to [0,1].
Symbols and units
- a
- Successful tasks (count)
- b
- Attempted independent tasks (count)
- c
- Normal critical value z for requested two-sided interval
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Wilson score interval for independent Bernoulli trials under supplied critical value. Repeated tasks from one participant may violate independence; not a product usability rating or guaranteed future rate. Supported limits: All numeric inputs must be finite. Only the explicitly described mathematical scenario is supported.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.