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Boundless Statistics
Estimation and Hypothesis Testing
Statistics Textbooks Boundless Statistics Estimation and Hypothesis Testing
Statistics Textbooks Boundless Statistics
Statistics Textbooks
Statistics

Section 4

Confidence Intervals

Book Version 1
By Boundless
Boundless Statistics
Statistics
by Boundless
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9 concepts
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What Is a Confidence Interval?

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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Interpreting a Confidence Interval

For users of frequentist methods, various interpretations of a confidence interval can be given.

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Caveat Emptor and the Gallup Poll

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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Level of Confidence

The proportion of confidence intervals that contain the true value of a parameter will match the confidence level.

Determining Sample Size

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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Confidence Interval for a Population Proportion

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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Confidence Interval for a Population Mean, Standard Deviation Known

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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Confidence Interval for a Population Mean, Standard Deviation Not Known

In this section, we outline an example of finding the confidence interval for a population mean when we do not know the standard deviation.

Estimating a Population Variance

The chi-square distribution is used to construct confidence intervals for a population variance.

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