The 112th Congress of the United States of America has 535 members, of which 87 are

Chapter 9, Problem 51

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The 112th Congress of the United States of America has 535 members, of which 87 are women. An alien lands near the U.S. Capitol and treats members of Congress as a random sample of the human race. He reports to his superiors that a 95% confidence interval for the proportion of the human race that is female has a lower bound of 0.131 and an upper bound of 0.194. What is wrong with the aliens approach to estimating the proportion of the human race that is female?

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