The Basic Practice of Statistics 7th Edition

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 534: 22.27c

Answer

See below.

Work Step by Step

Thus we can see that for samples with approximately this size, the margin of error is not larger than around $3\%$.
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