H0 : Poisson distribution is a good fit to the observed data/distribution
H1 : Poisson distribution is not a good fit to the observed data/distribution.
To test H0 , we fit a poisson distribution to the data
So, the parameter can be estimated by finding mean
Let 0 and E be the observed (f) and expected (Tx) frequencies, the
Here n = 4 . χ2cal = 26.66
At α = 5% the upper Tail critical value for (n – 2) (4 – 2)
= 2 d.f is k = 5.99.
Here χ2cal > k.
∴ H0 is rejected and H1 is accepted.
Conclusion : Poisson distribution is not a good fit.
