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%

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%

anonymous · Answer

i took 68 subtracted 8 then divided 95 and got .631 so im leaning towards b because if i round down it would be 62

amistre64 · Answer

um, you are given an interval

68 +- 8

amistre64 · Answer

we are 95% confident that the true population proportion is between 60 and 76

what option fits within this interval?

amistre64 · Answer

it is 62, but im not sure if your method is valid or just a lucky break :)