Question

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? answer 82.4% 73% 81.2% 73.5%

Explanation:

Step1: Determine the range

The sample percentage is 78% and the margin of error is 4%. The actual percentage lies in the range \(78\% - 4\%\leq p\leq78\%+ 4\%\), which is \(74\%\leq p\leq82\%\).

Answer:

81.2%