\begin{tabular}{|l|c|c|} \hline \multicolumn{3}{|l|}{ Number of Bicycle Deaths per Year } \\ \hline Year & Male & Female \\ \hline 1996 & 654 & 107 \\ \hline 1997 & 712 & 99 \\ \hline 1998 & 658 & 99 \\ \hline 1999 & 656 & 94 \\ \hline 2000 & 605 & 76 \\ \hline \end{tabular} Data from Insurance Institute for Highway Safety 2. If \( 99 \% \) of the people who die in bicycle accidents were not wearing helmets, to the nearest whole number, how many people who died in 1998 were wearing bicycle helmets? A. 7 C. 8 B. 6 D. 9
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From the table, we can see that the total number of deaths in 1998 is 658 (for males) + 99 (for females) = 757. Show more…
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The National Highway Traffic Safety Administration publishes reports about motorcycle fatalities and helmet use. The distribution shows the proportion of fatalities by location of injury for motorcycle accidents. $$\begin{array}{lccccc}\begin{array}{l}\text { Location } \\\text { of injury }\end{array} & \begin{array}{c}\text { Multiple } \\\text { Locations }\end{array} & \text { Head } & \text { Neck } & \begin{array}{c}\text { Abdomen/ } \\\text { Thorax }\end{array} & \begin{array}{c}\text { Lumbar/Spine } \\0.03\end{array} \\\hline \text { Proportion } & 0.57 & 0.31 & 0.03 & 0.06 & 0.03\end{array}$$ The following data show the location of injury and fatalities for 2068 riders not wearing a helmet. $$\begin{array}{lccccc}\text { Location } & \text { Multiple } & & & & \text { Abdomen/ } \\\text { of injury } & \text { Locations }& \text { Head } & \text { Neck } & \text { Thorax } & \text {Lumbar/Spine } \\\hline \text { Number } & 1036 & 864 & 38 & 83 & 47\end{array}$$ (a) Does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all riders? Use the $\alpha=0.05$ level of significance. (b) Compare the observed and expected counts for each category. What does this information tell you?
Inference on Categorical Data
Goodness-of-Fit Test
Studies show that 9 out of 10 bicycle riders wear helmets. If 400 bicycle riders are randomly observed, you should expect that there would be an 80% chance that at least how many would be wearing helmets?
Qudsiya A.
The following table shows the percentage of motorcyclists in various regions of the country who used helmets compliant with federal safety regulations and the percentage who used helmets that were non compliant in two recent years. Source: NHTSA. (Table Cant Copy) a. Write two matrices for the 2008 and 2009 helmet usage. b. Use the two matrices from part a to write a matrix showing the change in helmet usage from 2008 to 2009. c. Analyze the results from part b and discuss the extent to which changes from 2008 to 2009 differ from one region to another.
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