uestion Help 9 You work for an insurance company and are studying the relationsh

Question

uestion Help 9 You work for an insurance company and are studying the relationship between types of crashes and the vehicles involved As part of your study, you randomly select 3478 vehicle crashes and organize the resulting data as shown in the contigency table. At a 0.05, can you conclude that the type of crash depends Vehicle on the type of vehicle? Complete parts (a) through (d) Type of crash Sport uti Single-vehicle 349 267 Multiple-vehicle 1160 482 402 (a) Identify the claim and state the null and alternative hypotheses. Ho: The type of crash and the type of vehicle are Ha: The type of crash and the type of vehicle are The is the claim. (hl DAtemnine the denraas nf freednm find the critical value and identifv the reiertinn reninn Click to select your answer(s) A 40

Explanation / Answer

Ho: independent

Ha: dependent

degree of freedom =2

test stat X2=0.696

do not reject Ho; not sufficient evidnce to claim

option A is correct does not support the claim they are related

Observed O Car Pickup Sport Utility Total single vehicle 818 349 267 1434 multi vehicle 1160 482 402 2044 Total 1978 831 669 3478 Expected E=rowtotal*column total/grand total Car Pickup Sport Utility Total single vehicle 815.541 342.626 275.833 1434 multi vehicle 1162.459 488.374 393.167 2044 Total 1978 831 669 3478 chi square =(O-E)^2/E Car Pickup Sport Utility Total single vehicle 0.007 0.119 0.283 0.409 multi vehicle 0.005 0.083 0.198 0.287 Total 0.013 0.202 0.481 0.696

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