Question

There are 8 job codes in a large hospital system. The table below indicates the number of grievances filed by members of the union by job code. Are the number of grievances uniformly distributed at α = 0.05?

Job Code	Grievances
1	19
2	17
3	14
4	18
5	19
6	21
7	18
8	18

Interpret this for hospital leadership.

Answer 1

Total frequency = 19 + 17 + .... + 18 = 144

The expected frequency for each code here is computed as:
= 144/8 = 18

Now using this, the chi square test statistic here is computed as:

For n - 1 = 7 degrees of freedom, the p-value here is computed from the chi square distribution tables as:

As the p-value here is very very high, the test is not significant and therefore we dont have enough evidence here to conclude that the distribution is not uniform. Therefore we can conclude that the distribution is uniform here.