Records pertaining to the monthly number of job-related injuries at a construction worksite were studied. The values for the past 100 months were as follows:
|
Injuries per month
|
Frequency of Occurrence
|
|
0
|
35
|
|
1
|
40
|
|
2
|
13
|
|
3
|
6
|
|
4
|
4
|
|
5
|
1
|
|
6
|
1
|
a) Apply the chi-square test to these data to test the hypothesis that the underlying distribution is Poisson. Use the level of significance alpha = 0.05.
b) Apply the chi-square test to these data to test the hypothesis that the distribution is Poisson with mean 1.0. Again let alpha = 0.05.