Question

Suppose a study estimated that 63% of the residents of a community (with an

error range of 7 percentage points at 95% confidence) favor replacing the
playground equipment. Which of the following percentages of the
community's residents may favor replacing the playground equipment?

Answer 1

Answer choice A(57%)

Explanation:

The margin of error is 7%. This means the 63% could either 7% too high or 7% too low. Answer choice A is the only answer choice that is within the range of percents that it could possibly be(between 56% and 70%). Answer choice B is 10% off, 3% out of the range. Answer choice C is 25% off, 18% out of the range. Answer choice D is 32% off, 24% out of the range. Hope this helps. :)