Question

a traffic safety company publishes reports about motorcycle fatalities and help me use in the first accompanying data table the distribution shows the proportion of fatalities by location of injury for motorcycle accident the second data table shows the location of injury and fatalities for 2046 riders not wearing a helmet complete parts a-b below

Full data set Proportion of fatalities by location of injury for motorcycle accidents Multiple Abdomen/ Location of injury Head Neck Thorax locations Lumbar/ Spine Proportion 0.570 0.310 0.030 0.060 0.030 Location of injury and fatalities for 2046 riders not wearing a helmet Location of Multiple Abdomen/ Head Neck Thorax injury locations Lumbar/ Spine Number 1020 859 37 82 48

Answer 1

FREQUENCY PROBABILITY OBSERVED (o) (P) EXPECTED E= SUM OF O*P S.NO color (0-E)^2/E 1020 859 0.570 0.310 1166.22 634.26 18.333 79.633 1 multiple 2 head 3 neck 4 thorax 37 0.030 61.38 122.76 9.684 13.534 82 0.060 5 A/L/S 48 0.030 61.38 2.917 TOTAL 2046 1 2046 124.100 CHI SQUARE TEST STAISTICS =124.100 DF = N-1 = 5-1 = 4 P VALUE = 0.000 CHISQ.DIST.RT(124.1,4) P VALUE < SIGNIFICANCE VALUE = 0.01 REJECT HO.

(a) Does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all riders? Use a = 0.01 level of significance. What are the nul and alternative hypotheses? Ho The distribution of fatal injuries for riders not wearing a helmet does follow the same distribution for all other riders H. The distribution of fatal injuries for riders not wearing a helmet does not the same distribution for all other diders follow Compute the expected counts for each fatal injury Location of injury Observed Count Expected Count Multiple Locations 1020 1166.22 Head 859 634.26 Neck 37 61.38 Thorax 82 122.76 Abdomen/Lumbal Spine 61.38 Bound to two decimaces as needed)

What is the test statistic? 124.100 -124 100d to three decimal places as needed) What is the range of p-values for the test? The range of P-values for the testis 0 There is Based on the results, does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all other riders at a signizance level of a -0.012 Reject HO sufficient evidence that the distribution of fatal injuries for riders not wearing a helmet doesnot followedistribution for all riders (6) Compare the observed and expected counts for each category. What does this information tell you? Motorcycle fatalities from head injuries cou more frequently for riders not wearing a helmet, while they cou frequently for all other locations Enter your answer in each of the answer boxes