Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 9 - Section 9.1 - Assess Your Understanding - Explaining the Concepts - Page 439: 50

Answer

Mariya’s interval is wrong. The point of estimate $p̂$ does not lie in the center of the confidence interval.

Work Step by Step

The point of estimate $p̂$ must be in the center of the confidence interval. That is: $p̂=\frac{lower~bound+upper~bound}{2}$ Jaime’s interval: $\frac{lower~bound+upper~bound}{2}=\frac{0.097+0.163}{2}=0.13=p̂$ Mariya’s interval: $\frac{lower~bound+upper~bound}{2}=\frac{0.117+0.173}{2}=0.145\ne p̂$
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