Question

Suppose a study estimated that 61% of the residents of a community (with an error range of 18 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?

a) 43%
b) 79%
c) 52%
d) 61%

Answer 1

The percentage of the community's residents that may favor replacing the playground equipment falls within the estimated percentage plus or minus the error range.

Step-by-step explanation:

The percentage of the community's residents that may favor replacing the playground equipment falls within the range of the estimated percentage plus or minus the error range. In this case, the estimated percentage is 61% and the error range is 18 percentage points at 95% confidence.

To determine the percentages that may favor replacing the playground equipment, we add and subtract the error range from the estimated percentage.

a) 43% - The lower boundary would be 61% - 18% = 43%

b) 79% - The upper boundary would be 61% + 18% = 79%

c) 52% - The range does not include 52%

d) 61% - This is the estimated percentage, so it falls within the range.