Sprint 9:01 PM webassign.net A survey was conducted to provide probability-based
ID: 3074283 • Letter: S
Question
Sprint 9:01 PM webassign.net A survey was conducted to provide probability-based data on motorcycle helmet use within a country. The survey was conducted by sending observers to randomly selected roadway sites where they collected data on motorcycle helmet use, including the number of motorcyclists wearing a compliant helmet. Sample data consistent with the most recent survey are shown below. a) Use the sample data to compute an estimate of the probability that a motorcyclist wears a compliant helmet. (Round your answer to four decimal places.) b) The probability that a motorcyclist wore a compliant helmet five years ago was 0.50, and last year this probability was 0.65. Would the country's traffic safety officials be pleased with the most recent survey results? O Yes, the probability that a motorcyclist wears a compliant helmet O Yes, the probability that a motorcyclist wears a compliant helmet O No, the probability that a motorcyclist wears a compliant helmet O No, the probability that a motorcyclist wears a compliant helmet appears to be increasing. appears to be decreasing. appears to be decreasing. appears to be increasing. te What is the probability of compliant helmet use by region of the country? (Round your answers to four decimal places.) Prcompliant and Northeast) Pilcompliant and Midwest) complant and South)- compliant and Weset) What region has the highest probability of compliant helmet use? O Northeast O Midwest O South O WestExplanation / Answer
a) P(Wears a complaint Helmet) = No of obs who wear complaint helmet / Total no of Obs
= (350) / (350+162)
= 0.6836
About 68.36% of obs wear complaint Helmet.
b) Well the probability is increasing.So yes they will be happy because the chances of people wearing these helmets is increasing. As before it was 65% and above its 68.36. So, to answer the question that was asked, yes, the NHTSA should be pleased with the most recent survey results.
c) P(complaint and Northeast) = (96) / (96+60) = 0.6153
P(complaint and Midwest) = (82) / (82+41) = 0.6666
P(complaint and South) = (94) / (94+47) = 0.6666
P(complaint and West) = (78) / (78+14) = 0.8478
d) The West region shows the highest probability (0.8478) of DOT-compliant helmet use.
Reigon Compliant NonComplaint Northeast 96 60 MIdwest 82 41 South 94 47 West 78 14 Total 350 162Related Questions
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