# Margin of Error Example Worksheet

The margin of error is a common summary of sampling error, which quantifies uncertainty about a survey result and can be easily determined from the amount of random sampling error in a survey's results. This worksheet help you to understand how to compute finite population Margin of Error. The formula used to calculate finite population Margin of Error is,
MOE = (1.96) √[(N-n)/(N-1)]x √[p(1-p)/n]

Margin of Error Example:
Calculate the finite population Margin of Error whose n = 3, p = 0.2, N = 5.
Substitute these values in the above formula,
MOE = (1.96) √[(N-n)/(N-1)]x √[p(1-p)/n]
= (1.96) √[(5-3)/(5-1)] x √[0.2x(1-0.2)/3]
= 1.96x0.707x0.23094
= 0.32007
Multiple the above answer by 100 to convert it into percentage.
MOE = 32.007%

When you try such calculations on your own, this margin of error calculator can be used to verify your results of calculations.

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