## 20.5 Interpretation of a CI

The correct interpretation (Definition 20.3) of a 95% CI is the following:

If samples were repeatedly taken many times, and the 95% confidence interval computed for each sample, 95% of these confidence intervals formed would contain the population parameter.

However, most people would think of our 95% CI as having a 95% chance of containing the value of population parameter $$p$$. This is not strictly correct (our CI either does or does not contain the value of $$p$$), but is common.

More details on interpreting a CI are given in Sect. 21.2.