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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 the supported the plan to raise taxes
was 42%. The margin of error for the survey was 2.5%. Write a confidence interval for
the percentage of the population that favors the plan.

Sagot :

Using it's formula, it is found that the confidence interval for  the percentage of the population that favors the plan is (39.5%, 44.5%).

What is the formula for a confidence interval?

  • A confidence interval is given by the sample percentage plus/minus the margin of error.

In this problem:

  • The sample percentage is of 42%.
  • The margin of error is of 2.5%.

42 - 2.5 = 39.5%

42 + 2.5 = 44.5%

Hence, the confidence interval for  the percentage of the population that favors the plan is (39.5%, 44.5%).

You can learn more about a confidence interval at https://brainly.com/question/25779324

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