# Estimate standard error of a sample proportion

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Of 2003 adults interviewed, 54% said yes, 42% said no, and 4 % no opinion. Find the estimated standard error for a sample proportion answering yes, and interpret?

How did you get the proportion using what formula?

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## SOLUTION This solution is **FREE** courtesy of BrainMass!

The formula for the standard error is:

the square root of p(1 - p)/n

Here, p = 0.54 (the proportion answering yes) and n = 2003 (the sample size). So the standard error is:

SE = sqrt( 0.54(1 - 0.54)/2003 )

SE = sqrt( 0.54*0.46/2003 )

SE = sqrt(0.00012401)

SE = 0.01113616 = 1.1%

*** The formula is SE = sqrt[ p(p - p)/n ] ***

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