Question

A survey was given to a random sample of the residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. The survey reported a confidence interval that between 22% and 32% of the residents supports the plan. What is the margin of error on the survey? Do not write ± ± on the margin of error.

Answer 1

`\Huge \bold{\boxed{\boxed{\text{5\%}}}}`

Explanation:

To calculate the margin of error for the survey, we need to use the formula:

`\large \text{Margin of error} = \large \text{$\frac{\text{Range of values}}{2}$}`

The range of values is the difference between the upper and lower bounds of the interval. In this case, the lower bound is 22% and the upper bound is 32%, so the range of values is:

`\large \text{Range of values = 32\% - 22\% = 10\%}`

Substituting this value into the formula, we get:

`\large \text{Margin of error = $(10\%)/(2)$ = 5\%}`

Therefore, the margin of error on the survey is 5%.