Question

Determine whether the conclusion is valid. Explain.You want to Determine how many students consider math to be their favorite school subject.You randomly survey 75 students.Thirty-three students consider math to be their favorite subject and forty-two do not.So you conclude that 40% of students at your school consider math to be their favorite subject.

Answer 1

Percentages

We know that 33 students out of 75 consider Math to be their favorite subject. We want to find it this portion of students is 40% of the total.

In order to do that we find what is the 40% of 75.

We just divide the percentage, 40%, by 100:

40 ÷ 100 = 0.4

and then we multiply the result by the total, 75:

0.4 x 75 = 30

This is

40% of 75 is 0.4 x 75 = 30

Then the 40% of 75 is 30 instead of 33 students.

Answer: the conclusion is NOT valid