Are attitudes toward shopping changing? Sample surveys show that fewer people enjoy shopping in stores than in the past. A recent survey asked a random sample of 2500 U.S. adults if they agreed or disagreed with the statement, "I prefer to shop for clothes online rather than in a store." In this survey, 1575 agreed. A manager of a local clothing store claims that 60% of all U.S. adults would say "Agree" if asked the same question. (a) What is the sample proportion of U.S. adults who agreed with the statement? (b) If the manager's claim is true, what is the probability that the proportion in a random sample of 2500 U.S. adults is at least as far above 0.60 as the results of this survey? (c) Based on your answer in part (b), do you have reason to doubt the manager's claim?

Are attitudes toward shopping changing? Sample surveys show that fewer people enjoy shopping in stores than in the past. A recent survey asked a random sample of 2500 U.S. adults if they agreed or disagreed with the statement, "I prefer to shop for clothes online rather than in a store." In this survey, 1575 agreed. A manager of a local clothing store claims that 60% of all U.S. adults would say "Agree" if asked the same question. (a) What is the sample proportion of U.S. adults who agreed with the statement? (b) If the manager's claim is true, what is the probability that the proportion in a random sample of 2500 U.S. adults is at least as far above 0.60 as the results of this survey? (c) Based on your answer in part (b), do you have reason to doubt the manager's claim?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section11.4: Two-ways Tables

Problem 5E

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