Question

18. If you want a poll to have a margin of error of 3.33%, how large will your sample have to be? Round your answer to the nearest whole number.people

Answer 1

902 people

Explanation:

We have that the margin of error is given by the following formula:

`e=\frac{1}{\sqrt[]{n}}\cdot100\text{\%}`

We know the value of the error, therefore we can replace and calculate the sample size:

`\begin{gathered} 3.33\text{\%}=\frac{1}{\sqrt[]{n}}\cdot100\text{\%} \\ \frac{1}{\sqrt[]{n}}=0.0333 \\ \sqrt[]{n}=(1)/(0.0333) \\ n=\mleft((1)/(0.0333)\mright)^2 \\ n=901.8\cong902 \end{gathered}`

The sample size will be 902 people