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: 22.30a

Answer

large enough.

Work Step by Step

If $np_0\gt 15$ and $n(1-p_0)\gt15$, then the sample is large enough. Here $np_0=418\cdot0.76=318\gt 15$ and $n(1-p_0)=418\cdot0.24=100\lt 15$, thus the sample is large enough.
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