Question

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?

Answer 1

The standard error is:

`SE=\sqrt{(p(1-p))/(n)}`

Substituting values gives:

`\begin{gathered} SE=\sqrt{(0.38(1-0.38))/(168)} \\ SE=0.037 \end{gathered}`

Therefore the standard error is 0.037.