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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 would continue to university, with a margin of error. Based on the second group, the student estimated that would attend college, with an 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.