Suppose two simultaneous random surveys were taken of a mid sized city to determine public acceptance of a proposed ballot measure. Survey X covered 1000 voters, and Survey Y covered 2000 voters. How would you expect the surveys to compare for accuracy?
A) There is no way of knowing how the two surveys compare.
B) The two surveys are equally accurate.
C) Survey Y is 4 times more accurate than Survey X.
D) Survey Y is twice as accurate as Survey X
E) Survey Y is probably about one percentage point more accurate than Survey X.

Question

Quizplus · Accepted Answer

Survey Y, with a larger sample size, is likely to have a smaller margin of error, making it about one percentage point more accurate than Survey X.

Suppose Two Simultaneous Random Surveys Were Taken of a Mid