how are alpha and confidence interval related
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The confidence interval becomes wider.
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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confidence level