Question

Suppose a study estimated that 68% of the residents of a town (with an error range of ±8 percentage points at 95% confidence) favor expanding the park and recreation department. Which of the following percentages of the town's residents may favor expanding the park and recreation department? A. 92% B. 62% C. 52% D. 82%

Answer 1

The correct answer would be 62%

Answer 2

Answer with explanation:

Percentage of population of a resident of town who favor expanding the park and recreation department= 68 %

Error range

        $=\pm 8%$

Confidence level =95 %

As error range is from -8% to +8%.

So, →→ 68 -8=60% ≤Population Range ≤ 68+8=76%

→→60% ≤Population Range ≤76%

Among the four percentages of the town's residents who favor expanding the park and recreation department that lie in the above Population Range is,

Option B: 62%