Question

A phone survey has a margin error of +/– 4%. What is the range of number of people who will vote for the other candidate if 87 of 114 people said they would vote for the other person and there are 9918 people in the district?

A. 7266 to 7872
B. 7266 to 7827
C. 7222 to 7872
D. 7296 to 7872

Answer 1

The range of people who voted for other person = 7266 to 7872

Explanation:

A phone survey has a margin error of +/– 4%. The range of number of people who will vote for the other candidate if 87 of 114 people said they would vote for the other person.

We get the percentage from this ,

Percentage =
`(87)/(114) * 100` = 76.3 %

Border percentages = 72.3 and 80.3% (Since error = 4%)

We have already taken vote of 114 people so remaining = 9804

Lower end = 0.723
`*` 9804 = 7266

Upper end = 0.803
`*` 9804 = 7872

Hence the range = 7266 to 7872