Examples
Examples
Try the starting example
- Successes
- 50
- Trials
- 100
- Critical z
- 1.96
- Wilson lower bound
- 0.40383
- Wilson upper bound
- 0.59617
Try another scenario
- Successes
- 51
- Trials
- 100
- Critical z
- 1.96
- Wilson lower bound
- 0.413478
- Wilson upper bound
- 0.605782
Calculation method
Calculation method
Wilson lower bound
Set p = a/b, D = 1+c²/b, centre = (p+c²/(2b))/D and half-width = c × sqrt(p(1−p)/b+c²/(4b²))/D. Lower bound = centre − half-width.
Wilson upper bound
Using the same centre and half-width, upper bound = centre + half-width.
Symbols and units
- a
- Successes
- b
- Trials
- c
- Critical z
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 a binomial proportion. Choose the critical z for the desired confidence level.
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.