There was a wonderful study conducted in 1898 by von Bortkiewicz, which provides data on the death of soldiers in the Prussian army from kicks by horses and mules. The data pertain to 10 army corps, each observed over 20 years, for a total of 200 corps-years. The following table summarizes the observed data. Note that 109 corps-years had 0 deaths and 65 corps-years had 1 death, etc.

Deaths	0	1	2	3	4	Total
Occurrences	109	65	22	3	1	200

Von Bortkiewicz felt that a distribution known as the Poisson distribution would describe these data well. Using that distribution, he produced the following probabilities.

Deaths	0	1	2	3	4	Total
Probabilities	0.543	0.331	0.101	0.021	0.003	0.999

Test the hypothesis under a 5% significance level. (Show your work of analysis and conclusion for full credits)