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 of 300
students at this middle school. Based on the survey, which value is the BEST
estimate for the number of students who would say that math is their favorite
subject?
The best estimate for the number of students who would say that math is their favorite subject can be found by setting up a proportion.
We know that 24 out of 80 students said math is their favorite subject in the survey.
So, if we scale this up to the entire school population of 300 students, we can set up the following proportion:
24/80 = x/300
Cross multiply to solve for x:
80x = 24 * 300
80x = 7200
x = 7200 / 80
x = 90
Therefore, the best estimate for the number of students who would say that math is their favorite subject is 90.