Question

In a random sample survey of 80 students at Torrey's middle school, 24 students said that math was their favorite subject. There are a total of300 students at this middle school. Based on the survey, which value is theBEST estimate for the number of students who would say that math istheir favorite subject?150O 720 244O 90

Answer 1

We can use the proportion from the survey to estimate the number of students that like math.

The survey proportion can be calculated as:

`p=(x)/(N)=(24)/(80)=0.3`

where x is the number of students in the survey that prefer maths and N is the total number of students surveyed. We then have a proportion of p=0.3: for every 100 students, we can estimate that 30 have maths as their favourite subject.

If the number of students is 300, we can estimate the number of students that prefer math by multiplying this proportion, p=0.3, by the total number of students, 300:

`n=p\cdot N=0.3\cdot300=90`

Answer: 90 students.