# Confidence Intervals: Confidence Level, Sample Size, and Margin of Error

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All confidence intervals studied in an introductory statistics course have in common the underlying relationships between the confidence level, sample size, and margin of error. Namely, for a fixed sample size the margin of error varies with the confidence level, and for a fixed confidence level the margin of error varies inversely with a sample size. Furthermore, the sample statistic being used to estimate a population parameter is always located at the midpoint of the confidence interval.

Contributed by: Eric Schulz (March 2011)

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