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16 October, 03:54

In an election poll, 56 % of 400 people voters choose a certain candidate. Find margin of sampling error?

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  1. 16 October, 04:24
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    Generally, we refer to a margin of error with a certain confidence. For a poll of n people that results in choice one p percent of the time and choice two (100-p) percent of the time one standard deviation (or standard error) is given by sqrt (p (100-p) / n). In this case, that would be

    std = sqrt (56 * 44 / 400) = 2.48%

    The canonical choice is to choose the 95% confidence interval. For a 95% confidence interval, the margin of error is

    1.96 * std = 4.9% (approx)

    For a 99% confidence interval, the margin of error is 2.58 * std.
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