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

Part 1 : 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?

Option 1 : 25

Option 2 : 85

Option 3 :150

Option 4 :128

Solutions - Convert the percent into decimal and multiply.

85% of 150 = 0.85 * 150

= 127.5 which is rounded to 128

Answer 2

The number of students in the seventh grade who would be expected to prefer math over science are:

128

Explanation:

Total number of students in seventh grade are: 150 students.

Now he took a sample of 25 students and find that the 85% of the sample prefers math over science.

This means that out of the sample the number of students who prefer maths over science is:

`=(85)/(100)* 25\\\\\\=(85)/(4)\\\\\\=21.25\ students`

Now, out of the total seventh graders the number of students who prefer math over science is:

`=(21.25* 150)/(25)\\\\\\=127.5`

which is approximately equal to 128.

Hence, the answer is:

128 students