Short Definition
A confidence interval is a range that estimates an unknown quantity with uncertainty from sampling.
Intuition
Instead of pretending a single estimate is exact, a confidence interval shows a plausible range based on the data.
Technical Definition
A confidence interval is constructed by a procedure that, under repeated sampling assumptions, contains the true parameter a specified proportion of the time.
Example
An A/B test may estimate a conversion lift of 2 percent with a 95 percent confidence interval from 0.5 to 3.5 percent.
Common Misunderstandings
A 95 percent confidence interval does not mean there is a 95 percent probability the fixed parameter is inside this one interval.
Confidence intervals depend on assumptions and sampling design.