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    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?

    © BrainMass Inc. brainmass.com December 24, 2021, 8:00 pm ad1c9bdddf
    https://brainmass.com/statistics/standard-error/estimate-standard-error-sample-proportion-237059

    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 ] ***

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 8:00 pm ad1c9bdddf>
    https://brainmass.com/statistics/standard-error/estimate-standard-error-sample-proportion-237059

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