Question

14. (11pt) The National Transportation Safety Board (NTSB) publishes statistics on the number of automobile crashes that people in various age groups have. Young people, aged 18-24, have an accident rate of 12%, meaning that, on average, 12 out of every 100 young people per year had an accident. A researcher claims that the population proportion of young drivers having accidents has changed since the time of the NTSB data. Her study examined 1000 young drivers, aged 18-24, and found that 138 had an accident this year. Use a 0.05 level of significance to test her claim. Use the P-value method. Assume all the conditions to conduct the test are met.

Answer 1

n = 1000 x = 138,420.05 given - P = 0.12 P= x 138 1000 = 0.138 To test : Ho! Po 0.12 H: P = 0,12 Test statistics - 2 P - Po 0.138 -0.12 =1.75L Polt-Pollo 10.12.61-0-12)71000 so we P-value = 0.0798 at x=0.05 P-Value = 0.079 8 -> -0.05. accept Ho Using P-value method, conclusion We do not have sufficient evidence to conclude claim that, population proportion of yong young drivers having accidents has changed since time of the NTSB data.

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