Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 10 - Section 10.2 - Assess Your Understanding - Applying the Concepts - Page 494: 24b

Answer

Since the obtained probability is within the confidence interval, we do not reject the Null Hypothesis that 22% of married men have "strayed" at least once during marriage.

Work Step by Step

Here we have: n = 500, p = 0.22, Confidence = 95% α = 1 - 0.95 = 0.05, α/2 = 0.025, $z_{α/2} = 1.96$ p̂ = 122/500 = 0.244 $E = 1.96 \times \sqrt \frac{ 0.244(1-0.244)}{500} = 0.0376$ Lower Bound = p̂ - E = 0.244 - 0.0376 = 0.2064 Upper Bound = p̂ + E = 0.244 + 0.0376 = 0.2816
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