Sample Size And Margin Of Error In Statistics: How Doubling May Not Cut It In Half

T/F: Doubling the sample size cuts the margin of error in half

FALSE- sample size ‘n’ is under square root sign…so quadrupling the sample size will cut margin of error in half

False. Doubling the sample size does not cut the margin of error in half; instead, it reduces the margin of error by a factor of the square root of 2, which is approximately 1.4. To cut the margin of error in half, the sample size needs to be quadrupled because the margin of error is inversely proportional to the square root of the sample size.

More Answers:
Maximizing Accurate Representations: The Impact Of Sample Size On Statistical Significance In Mathematics
Statistical Significance Vs Effect Size In Math: Importance Of Cohen’S D And Correlation Coefficients
Maximizing Accuracy: The Limitations Of Margin Of Error In Confidence Intervals

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