To try to convince the public to use safety equipment in automobiles, a random s

Question

To try to convince the public to use safety equipment in automobiles, a random sample of 1000 accidents is chosen from the records. Each accident is classified according to the type of safety restraint used by the occupants and the severity of the injuries received as shown by the table below. From this data can we conclude that the extent of the injury is not independent of the type of safety equipment being used at the time of the accident?

DATA

Type of Restaint Extent of Injury Seat Belt Only Seat Belt and Harness None Total None 75 60 65 200 Minor 160 115 175 450 Major 100 65 135 300 Death 15 10 25 50 Total 350 250 400 1000

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: Extent of Injury
Columns: None

Chi-Square test:

Here,

P - value = 0.0897

Hence if we choose level of significance as 0.05 (Which is most commonly used) then we do not reject the null hypothesis and we will conclude that extent of the injury is independent of the type of safety equipment being used at the time of the accident

At the same time, if we choose level of signficance as 0.1 then we reject the null hypothesis and we will conclude that extent of the injury is not independent of the type of safety equipment being used at the time of the accident.

Seat Belts Only Seat Belts and Harness None Total None 75 60 65 200 Minor 160 115 175 450 Major 100 65 135 300 Death 15 10 25 50 Total 350 250 400 1000

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