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The National Occupant Protection Use Survey (NOPUS) was conducted to provide
probability-based data on motorcycle helmet use in the United States. The survey was con-ducted by sending observers to randomly selected roadway sites where they collected data on
motorcycle helmet use, including the number of motorcyclists wearing a Department of Trans-portation (DOT)-compliant helmet (National Highway Traffic SafetyAdministration website,
January 7, 2010). Sample data consistent with the most recent NOPUS are shown below.University % with Debt Amount($) College % with Debt Amount($)Pace 72 32,980 Wartburg 83 28,758Iowa State 69 32,130 Morehouse 94 27,000Massachusetts 55 11,227 Wellesley 55 10,206SUNY—Albany 64 11,856 Wofford 49 11,012
Type of HelmetRegion DOT-Compliant NoncompliantNortheast 96 62Midwest 86 43South 92 49West 76 16Total 350 170a. Use the sample data to compute an estimate of the probability that a motorcyclistwears a DOT-compliant helmet.b. The probability that a motorcyclist wore a DOT-compliant helmet five years ago was.48, and last year this probability was .63. Would the National Highway Traffic SafetyAdministration be pleased with the most recent survey results?c. What is the probability of DOT-compliant helmet use by region of the country? Whatregion has the highest probability of DOT-compliant helmet use?
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