How To Interpret Confidence Intervals?

A confidence interval gives a range of plausible values for a population parameter

The center of the interval is usually the sample estimate

The lower and upper bounds show the uncertainty around that estimate

A wider interval means less precision

A narrower interval means more precision

A 95% confidence interval means the method used would capture the true parameter about 95% of the time in repeated samples

A confidence interval does not mean there is a 95% probability that the true parameter is inside one specific interval

If the interval includes the null value, the result may not be statistically significant at that confidence level

If the interval excludes the null value, the result may be statistically significant at that confidence level

The interval should be interpreted in the context of the data, sample size, and variability

Confidence intervals help assess both statistical significance and practical importance

Overlapping confidence intervals do not always mean there is no meaningful difference

Confidence intervals are more informative than a single point estimate alone

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