Elementary Statistics: Picturing the World (6th Edition)

Published by Pearson
ISBN 10: 0321911210
ISBN 13: 978-0-32191-121-6

Chapter 6 - Confidence Intervals - Section 6.3 Confidence Intervals for Population Proportions - Exercises - Page 325: 7

Answer

E = 0.014 $\hat{p} = 0.919$

Work Step by Step

Lower Bound: 0.905, Upper Bound: 0.933, i) Find Error Width of Interval = Upper Bound - Lower Bound (0.933 - 0.905) = $\hat{p} + E - (\hat{p} - E)$ 0.028 = 2E E = 0.014 ii) Find $\hat{p}$ $\hat{p} - E = Lower Bound$ $\hat{p} = Lower Bound + E$ $\hat{p} = 0.905 + 0.014$ $\hat{p} = 0.919$
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