)Eve takes a random sample of 100 students in her school and finds that 82% of the sample prefers band over chorus. There are 1,100 students in the school. Based on the sample proportion, how many students in the school would be expected to prefer band over chorus?


82
100
1,100
902

Respuesta :

we multiplied 11 x 82 ( which was the percentage), based on 100 ppl and their is 11 times as many ppl. 11 x 82 is 902

The number of students in the school who would be expected to prefer band over chorus will be 902. Then the correct option is D.

What are ratio and proportion?

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Eve takes a random sample of 100 students in her school and finds that 82% of the sample prefers band over the chorus. There are 1,100 students in the school.

Based on the sample proportion, the number of students in the school would be expected to prefer band over chorus will be

The ratio will remain constant. Then the number of students (x) will be

[tex]\rm \dfrac{x}{1100} = \dfrac{82}{100}\\\\x \ \ \ = 1100 \times \dfrac{82}{100}\\\\x \ \ \ = 902[/tex]

The number of students in the school who would be expected to prefer band over chorus will be 902.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762