With domestic sources of building supplies running lowseveral years ago, roughly 60,000

Chapter 8, Problem 42

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With domestic sources of building supplies running lowseveral years ago, roughly 60,000 homes were built withimported Chinese drywall. According to the article ReportLinks Chinese Drywall to Home (New YorkTimes, Nov. 24, 2009), federal investigators identified astrong association between chemicals in the drywall andelectrical problems, and there is also strong evidence of respiratorydifficulties due to the emission of hydrogen sulfidegas. An extensive examination of 51 homes found that 41had such problems. Suppose these 51 were randomly sampledfrom the population of all homes having Chinese drywall.a. Does the data provide strong evidence for concludingthat more than 50% of all homes with Chinese drywallhave electrical/environmental problems? Carry out a testof hypotheses using .b. Calculate a lower confidence bound using a confidencelevel of 99% for the percentage of all such homes thathave electrical/environmental problems.c. If it is actually the case that 80% of all such homes haveproblems, how likely is it that the test of (a) would notconclude that more than 50% do?

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