Question

Suppose your math teacher was running for Governor. In a pre-election poll of 750 people, the estimate (called a point estimate) was 40%, meaning that 40% of the people would vote for your math teacher. Suppose there was a 4% margin of error. How many people (out of 750) said they would vote for your math teacher? Show your work. Write the answer as a complete sentence.

Answer 1

Solution

- 40% of peole would vote for the mMath teacher out f the 750 people. This implies that the number of people tahat would vote for him is

$\begin{gathered} 40\%\times750 \\ \frac{40}{100}\times750=300\text{ people} \end{gathered}$

- We are also told that there is a margin of error of 4%. This implies that the number of people that vote for the math teacher is either 4% more or 4% less than the 300 people

- 4% margin of error can be gotten as follows:

$\frac{4}{100}\times750=30$

- Thus, the number of people that vote for him is 300 give or take 30 people