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?

Respuesta :

First, figure out the percentage of students that said math is their favorite subject in the 80 student sample.
[tex] \frac{24}{80} \times \frac{x}{100} \\ 80x = 2400 \\ x = 30 \\ 30\%[/tex]
Now, we multiply 300 by .3 to approximate how many students would choose math as their favorite subject
[tex]300 \times .3 = 90[/tex]
Estimating, 90 students would choose math as their favorite subject going off of the given data.