Tri County Power and Light has collected data on safety related accidents at it primary plant over a period of 200 days. Below is a table showing the results of the study:

Conduct an appropriate chi square goodness of fit test to test a null hypothesis that the daily accident rate follows a Poisson distribution. Use the mean daily accident rate for the sample data as your estimate of the mean, of the Poisson distribution that you will try to “fit “to the sample data. Use a 5% level of significance. Note: To meet the minimum expected frequency cell size requirement, you can combine arrival categories 4, 5, and 6. Compute degrees of freedom as c–2, where c is the number of categories (after combining categories).

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Accidents 0 23 4 5 6Total Frequency 41 70 58 18 7 5 (number of days) 200 days