✓ Effortless Math · Free Tool

Confidence Interval for a Proportion

From the number of successes, the sample size, and the confidence level, get the sample proportion, standard error, z*, margin of error, and the interval — with steps.

p̂ ± z*·√[ p̂(1 − p̂)/n ]
successes x sample size n confidence %

Enter the number of successes, the sample size, and the confidence level (e.g., 90, 95, 99). Uses the normal (Wald) interval.

Results

Confidence interval
Sample proportion p̂
Standard error
z*
Margin of error
Lower limit
Upper limit

Step-by-step