Question

A school committee conducted a survey to determine the amount of time students spent doing homework. The committee asked every fifth student who entered the school about the amount of time he or she spent doing homework. Were the results of the survey valid? A. No, because the committee did not survey a sample that is representative of the population. B. Yes, because the committee surveyed a sample that is representative of the population. C. No, because the committee did not survey everyone at the school. D. Yes, because the committee surveyed all the students.

Answer 1

Answer: B. Yes, because the committee surveyed a sample that is representative of the population.

Step-by-step explanation: The results of a survey are valid if the sample space is representative of the population. The committee surveyed every fifth student who entered the school, which means all age groups and genders were represented, and the students were selected randomly.

Therefore, yes, the results of the survey were valid because the committee surveyed a sample that is representative of the population.

Answer 2

A. No, because the committee did not survey a sample that is representative of the population.

Explanation:

To gather information in order to determine the amount of time students spent doing homework, the committee must survey the widest range of students. Therefore, the sample is not a representative sample of the population.