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Confidence Level
If we were to select many random samples of [# of experimental units] and construct a [C%] confidence interval using each sample, about [C%] of the intervals would capture the true [parameter in context].
Confidence Interval
We are [C%] confident that the interval from - to - captures the true [parameter in context].
Decreasing confidence level
Decreases critical value (narrower)
Decreasing sample size
Increases standard error (wider)
Justification for Convincing Evidence
Because all plausible values of [point estimator] are less/greater than X units in the confidence interval, the interval gives us/does not give convincing evidence that…