Question

A research company surveys 8,000 people. The company expects 6,000 people to respond favorably. If there is a percent error of 2.5%, what is the range of people who will respond favorably to the survey? please help

Answer 1

Answer:

400

Step-by-step explanation:

6/8 = 0.75 or 75% expected to respond favorably.

Margin of error 2.5%:

  Lower bound: 0.75 - .025 = 0.725

  Upper bound: 0.75 + .025 = 0.775

Range:

  Lower bound: 8000 * 0.725 = 5800

  Upper bound: 8000 * 0.775 = 6200

  6200 - 5800 = 400