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Suppose the true proportion of voters in the county who support a specific candidate is 0.38. Consider the sampling distribution for the proportion of supporters with sample size n = 168.What is the mean of this distribution?0.38CorrectWhat is the standard error of this distribution?

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SOLUTION

The standard error is:

[tex]SE=\sqrt{\frac{p(1-p)}{n}}[/tex]

Substituting values gives:

[tex]\begin{gathered} SE=\sqrt{\frac{0.38(1-0.38)}{168}} \\ SE=0.037 \end{gathered}[/tex]

Therefore the standard error is 0.037.

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