A confidence interval, for a given probability, is the interval within which the true value may be found with that probability if the null hypothesis is true.
There are two possible reasons why a confidence interval may be asymmetrical. One is that the alternative hypothesis is asymmetrical: for example, H0 is X = 5 and H1 is X > 5 (rather than X ≠5).
The other possible reason is that the test statistic has an asymmetrical distribution.
Either of these can give rise to asymmetrical CIs.
Chat with our AI personalities
The confidence interval becomes wider.
how are alpha and confidence interval related
Confidence intervals represent an interval that is likely, at some confidence level, to contain the true population parameter of interest. Confidence interval is always qualified by a particular confidence level, expressed as a percentage. The end points of the confidence interval can also be referred to as confidence limits.
A confidence interval of x% is an interval such that there is an x% probability that the true population mean lies within the interval.
---- == ==