Wilson Confidence Range for Proportion
Use Wilson score interval for count of successes out of binary trials.
Your numbers
Lower end of confidence range
Independent trials with two outcomes; confidence describe repeated-sample coverage of method, no be probability for one fixed true proportion.
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Formula
Use Wilson centre C = (p+z²/(2n))/(1+z²/n) and half-width H = z√[p(1−p)/n+z²/(4n²)]/(1+z²/n). p na successes divided by trials, n na trials, and z na di two-sided standard-normal critical value. Di bounds na C−H and C+H, wey result show as percentages.
Use Wilson score interval for count of successes out of binary trials.
Example wey show the calculation
- Number of successes
- 50
- Number of trials
- 100
- Di confidence level (%)
- 95
- Lower end of confidence range
- 40.3831530366 %
- Upper end of confidence range
- 59.6168469634 %
- Proportion wey the trials show
- 50 %
Where e fit work and limits
Independent trials with two outcomes; confidence describe repeated-sample coverage of method, no be probability for one fixed true proportion.
We check inputs for missing values and allowed ranges. Result wey pass the finite numeric range no go show. Rounding affect wetin display, while calculation use the model numeric precision.
Check your units and assumptions before you rely on result. Changing label no convert currency or physical unit.
Version of di formula: 69fe9985d41b · Example don get check: