Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Five hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below:
Number of Vehicles Involved
Did alcohol play a role?
1
2
3
Yes
60
110
30
200
No
40
215
45
300
100
325
75
What proportion of accidents involved more than one vehicle? Place your answer, rounded to 2 decimal places, in the blank. For example, 0.23 is a legitimate entry.
To find the proportion of accidents that involved more than one vehicle, we need to calculate the total number of accidents involving more than one vehicle and divide it by the total number of accidents.
Looking at the table, we can see that the numbers provided represent the frequency of accidents based on the number of vehicles involved and whether alcohol played a role. To find the total number of accidents involving more than one vehicle, we need to sum the frequencies for the rows where the number of vehicles is greater than 1.
From the table, we can see that the frequency for "Number of Vehicles Involved" equal to 2 when alcohol played a role is 110, and the frequency for "Number of Vehicles Involved" equal to 2 when alcohol did not play a role is 215. Summing these two frequencies, we get 110 + 215 = 325.
Therefore, the total number of accidents involving more than one vehicle is 325.
To find the proportion, we divide the number of accidents involving more than one vehicle (325) by the total number of accidents, which is the sum of all the frequencies, 500.
So, the proportion of accidents involving more than one vehicle is 325/500 = 0.65.
Therefore, rounded to 2 decimal places, the proportion of accidents involving more than one vehicle is 0.65.