Records pertaining to the monthly number of job-related injuries were being studied by a federal agency. The values of the past 100 months are:
Injuries per month Frequency of occurrences
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 underlying distribution is Poisson. Use the level of significance ?= 0.05
(b) Apply the chi-square test to these data to test the hypothesis that the distribution is Poisson with mean 1.0.