II Poisson Goodness Fit Test The number of automobile accide

II Poisson -Goodness Fit Test The number of automobile accidents per day in a particular city is believed to have a Poisson distribution A sample of 80 days during the past year gives the following data. Do these data support the belief that the number of accident per day has a Poisson distribution? Use alpha 05 Ho: The number of accident per day has a Poisson distribution Ha : The number of accident per day don?t follows a Poisson distribution

Solution

Observed

P

expected= p*60

21

0.3679

22.074

22

0.3679

22.074

12

0.1879

11.274

4

0.0613

3.678

1

0.0153

0.918

Total

60

1.0003

Goodness of Fit Test

observed

expected

O - E

(O - E)

	Observed	P	expected= p*60
	21	0.3679	22.074
	22	0.3679	22.074
	12	0.1879	11.274
	4	0.0613	3.678
	1	0.0153	0.918
Total	60	1.0003