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.
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.
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Why confidence interval is useful
The confidence interval becomes wider.
how are alpha and confidence interval related
No. The width of the confidence interval depends on the confidence level. The width of the confidence interval increases as the degree of confidence demanded from the statistical test increases.
The confidence interval is not directly related to the mean.
The confidence interval becomes smaller.
No, it is not. A 99% confidence interval would be wider. Best regards, NS
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.
no,these are not the same thing.The values at each end of the interval are called the confidence limits.
The width of the confidence interval increases.
A confidence interval of x% is an interval such that there is an x% probability that the true population mean lies within the interval.
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