Answer
Yes.
Work Step by Step
The margin of error is: $z\sqrt{\frac{p(1-p)}{n}}$, thus it depends on $p$, which varies in each state, thus the margin of error will also vary.
The Basic Practice of Statistics 7th Edition
by Moore, David S.; Notz, William I.; Fligner, Michael A.
Published by
W. H. Freeman
ISBN 10:
146414253X
ISBN 13:
978-1-46414-253-6
Chapter 22 - Inference about a Population Proportion - Chapter 22 Exercises - Page 535: 22.32a
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