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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 percentage of people who said they favored the plan was 78%. The margin of error for the survey was 4%. Which of the following is a reasonable value for the actual percentage of the residents that support the tax plan?

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 percentage of people who said they favored the plan was 78%. The margin of error for the survey was 4%. Which of the following is a reasonable value for the actual percentage of the residents that support the tax plan?

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Solution

The survey results show that 78% of the residents support the tax plan, with a margin of error of 4%. This means that the actual percentage of residents that support the tax plan could be as low as 74% (78% - 4%) or as high as 82% (78% + 4%). Therefore, any value within this range, from 74% to 82%, would be a reasonable value for the actual percentage of residents that support the tax plan.

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