Question

In a random sample of 160 high school students, 64% of the students participated in summer camp activities. The estimate had a margin of error of 2.5% at a 95% confidence level. Which of the following is a potential percentage of high school students who participated in summer camp activities.

A. 60%
B. 68%
C. 62%
D. 67%

Answer 1

C. Because it is the only option within the margin of error

Answer 2

option: C is the answer( 62%)

Explanation:

" Margin of Error Percentage. A margin of error tells you how many percentage points your results will differ from the real population value.

For example: a 95% confidence interval with a 4 percent margin of error means that your statistic will be within 4 percentage points of the real population value 95% of the time "

Here we are given a margin of error of 2.5% at a 95% confidence level.

Hence, this means that it is at a 2.5% difference from given 64% data.

i.e. the range lies between (64-2.5)% to (64+2.5)%

i.e. 61.5% to 66.5%.

The value that lies between this set of data is 62%.

Hence, option: C is the answer.

(62%)