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.

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