Answer
See below.
Work Step by Step
A big confidence interval can be used if the number of successes and failures is at least $10$ for both samples. Thus we cannot use a big confidence interval, since the first sample has only $6$ successes.
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 23 - Comparing Two Proportions - Apply Your Knowledge - Page 550: 23.7a
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