# Hard SAT Math Question 23 — Video Explanation | 1600.now

Source: https://1600.now/hard/23

---

23

A student surveyed 2 random groups of his classmates to estimate the percentage of students that would be going to college. Based on the first group, the student estimated that around $54\%$ would continue to university, with a $2.5\%$ margin of error. Based on the second group, the student estimated that $67\%$ would attend college, with an $8.6\%$ margin of error. Assuming that the margin of errors were calculated similarly for both samples, which of the following best explains why the second sample possessed a greater margin of error than the first?

A

When compared to sample 1, more students in the second sample planned to continue to university.

B

When compared to sample 1, fewer students in the second sample planned to continue to university.

C

The second sample contained more students than the first.

D

The second sample contained fewer students than the first.