A factory is embarking on a new safety drive in an attempt to reduce the number

Question

A factory is embarking on a new safety drive in an attempt to reduce the number of accidents occurring on the factory floor. A manager checks back through the records of factory floor accidents and finds the day of the week on which each of the last 270 accidents occurred as shown below. It appears that accidents are more likely on Mondays and Fridays than other days. If this is the case, then it is sensible to be particularly vigilant on or to make changes to reduce the chances of accidents occurring on these days. Use an appropriate statistical test to determine whether the data set really provides evidence that accidents are more likely to occur on some days.

DATA:

Day of Week Monday Tuesday Wednesday Thursday Friday 65 43 48 41 73

Explanation / Answer

Our null and alternative hypotheses will be:

Ho: Accidents are equally likely to happen on all days.

H1: Accidents are more likely to occur on some days

The statistical software output for this problem is:

Chi-Square goodness-of-fit results:
Observed: var6
Expected: All cells in equal proportion

Hence,

We can see that the p - value is 0.0048 which is very small. Therefore,

The data provide significant evidence that accidents are more likely to occur on some days.

N DF Chi-Square P-value 270 4 14.962963 0.0048

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