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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

40 If you want a poll to have a margin of error of 306 how large will your sample have to be Round your answer to the nearest whole number people class=

Respuesta :

Margin of Error:

[tex]=\pm\frac{100}{\sqrt[]{n}}[/tex]

ANSWER: 1068

[tex]\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}=\frac{1}{0.0306} \\ \sqrt[]{n}=32.67973856 \\ (\sqrt[]{n})^2=32.67973856^2 \\ n=1,067.965312 \end{gathered}[/tex]

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