Question

A survey of a random sample of eighth graders shows that 58% prefer going to a newer high school, and 42% prefer going to an older, established high school. The survey has a margin of error +-9. What is the range for the percentage of eighth graders who prefer going to a newer high school

Answer 1

The margin of error is ±9%, which means that the actual percentage of eighth graders who prefer going to a newer high school could be 9% higher or lower than the sample percentage of 58%. To find the range for the percentage of eighth graders who prefer going to a newer high school, we need to calculate both the highest and the lowest possible percentages:

Highest possible percentage: 58% + 9% = 67%

Lowest possible percentage: 58% - 9% = 49%

Therefore, the range for the percentage of eighth graders who prefer going to a newer high school is 49% to 67%.