← Back to QUESTIONSTAR
Chapter 4 · Sampling · Slide 151/274

Confidence Interval and Confidence Level

An estimated range of values together with the probability that this range contains the unknown parameter value.

4.4 · Sample Size Terms

Confidence Interval and Confidence Level


Confidence interval

An estimated range of values together with the probability that this range contains the unknown parameter value.

Confidence level

The expected proportion of intervals that contain the parameter value across many samples.

Example · Working Hours

Sample of 30 people → avg. 7.5 h. Confidence interval: 7.2 – 7.8 h (margin of error ± 0.3).

95% confidence level means: if you repeated the measurement 100 times with new samples, the true average would fall within this range in 95 of the cases.

Many samples · 95% capture μ
7.07.58.08.5μ = 7.6 h

Each bar = one confidence interval. Red = misses the true value.

QUESTIONSTAR · Dr. Paul Marx 151 / 274
To the full presentation