Question

Angie takes a random sample of 100 students in her school and finds that 58% of the sample prefers art over music. There are 1,200 students in the school. Based on the sample proportion, how many students in the school would be expected to prefer art over music?

A. 696
B.1,200
C. 58
D. 100

Answer 1

A. 696 - take 1200 (the population of the school) and multiply by the result you found (.58 or 58%). 1200 * .58 = 696

Answer 2

Answer: Option 'A' is correct.

Explanation:

Since we have given that

Total number of students in the school = 1200

In a sample of 100 students, 58% of the sample prefers art to music.

So, Number of students in the school would be expected to prefer art over music is given by

`(58)/(100)* 1200\\\\=696`

Hence, there are 696 students who prefer art over music.

Therefore, Option 'A' is correct.