Section 4
Confidence Intervals
By Boundless
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A confidence interval is a type of interval estimate of a population parameter and is used to indicate the reliability of an estimate.
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For users of frequentist methods, various interpretations of a confidence interval can be given.
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Readers of polls, such as the Gallup Poll, should exercise Caveat Emptor by taking into account the poll's margin of error.
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The proportion of confidence intervals that contain the true value of a parameter will match the confidence level.
A major factor determining the length of a confidence interval is the size of the sample used in the estimation procedure.
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The procedure to find the confidence interval and the confidence level for a proportion is similar to that for the population mean.
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In this section, we outline an example of finding the confidence interval for a population mean when we know the standard deviation.
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In this section, we outline an example of finding the confidence interval for a population mean when we do not know the standard deviation.
The chi-square distribution is used to construct confidence intervals for a population variance.