Question

A polling organization collects data about public opinion concerning a new park that city officials want to build in a historic neighborhood. The polling organization concludes that 56% of the public is in favor of building the park, with a margin of error of ±6. What are the actual possible percentages of the public that support building the new park?

a. Exactly 56% of the public support building the new park.
b. Between 50% and 60% of the public support building the new park.
c. Between 50% and 62% of the public support building the new park.
d. Between 56% and 62% of the public support building the new park.

Answer 1

A margin of error of 6 means that the average value can go up or down, up to six points, meaning a value from 50 (56-6) to 62 (56+6), so the correct answer is C, between 50% and 62% of the public support building the new park.