Question

Ben takes a random sample of 25 students in his seventh-grade class and finds that 85% of the sample prefers math over science. There are 150 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer math over science?

Answer 1

If the sample truly is random, then let’s assume it’s representative of the 7th grade class. 85% of the sample prefers math to science. So we would expect about 85% of 150 students to prefer math in the whole 7th grade student body.