Statistics, 4th Edition

Published by W. W. Norton & Company
ISBN 10: 0393929728
ISBN 13: 978-0-39392-972-0

Chapter 1 - Part 1 - Design of Experiments - Exercise Set A - Page 20: 13

Answer

False

Work Step by Step

If we take the numbers of admitted male and female applicants altogether: Men in Department A: $2,000\times 0.5\times 0.6=600$ Men in Department B: $2,000\times 0.5\times 0.3=300$ Admitted male applicants: $900/2000=45\%$ Women in Department A: $100\times 0.6=60$ Women in Department B: $1,000\times 0.3=300$ Admitted male applicants: $360/1,100=33\%$ This is because female applicants tend to apply in Department B which is harder to get into.
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