Question

40. If you want a poll to have a margin of error of 3.06%, how large will your sample have to be? Round your answer to the nearest whole number. people

Answer 1

Margin of Error:

`=\pm\frac{100}{\sqrt[]{n}}`

ANSWER: 1068

`\begin{gathered} \text{Margin of Error}=\pm\frac{1}{\sqrt[]{n}} \\ 0.0306=\pm\frac{1}{\sqrt[]{n}} \\ \sqrt[]{n}\cdot0.0306=1 \\ \frac{\sqrt[]{n}\cdot0.0306}{0.0306}=(1)/(0.0306) \\ \sqrt[]{n}=32.67973856 \\ (\sqrt[]{n})^2=32.67973856^2 \\ n=1,067.965312 \end{gathered}`