Question

A phone survey about university tuition has a margin of error of +/– 2%. What is the range of number of people who think tuition is too high at the university if 2004 of the 3421 students said it was and there are about 20,000 students at the university

A. 11,282 to 11,950 students
B. 11,482 to 11,550 students
C. 11,782 to 11,950 students
D. 11,482 to 11,950 students

Answer 1

 your ...correct answer is D

Answer 2

11,482 to 11,950 students

Explanation:

Given: A phone survey about university tuition has a margin of error of +/– 2%.

To Find: What is the range of number of people who think tuition is too high at the university if 2004 of the 3421 students said it was and there are about 20,000 students at the university

Solution:

We are given that there are about 20,000 students

We are also given that 2004 of the 3421 students said tuition is too high at the university

⇒
`(2004)/(3421) * 20000`

⇒
`11715.87`

⇒
`11716`

Since we are given that A phone survey about university tuition has a margin of error of +/– 2%

So, 2% of 11715.87 = 234.31 ≈ 234

So, now
`11716-234<x<11716+234`

`11482<x<11950`

Hence the range of f number of people who think tuition is too high at the university is 11,482 to 11,950 students