Thread: Poisson: Hypothesis Testing

In 2007 and 2008, pirate attacks on ships in a region are given by the following data:

J F M A M J J A S O N D Total
2007 16 14 15 30 33 17 26 25 15 36 14 9 250
2008 19 14 20 29 20 15 20 24 38 199
(a) Assuming that the two sets of counts for 2007 and 2008 each arise from a Poisson process,
carry out a hypothesis test to determine whether or not there is evidence that `attacks are on the rise' from 2007 to 2008. State clearly what conclusion you end up drawing.

I've solved this, but to whoever moved it to the "Basic Statistics and Probability Section", please read the question carefully next time. There is no way something requiring generalized likelihood ratio tests and approximations to the chi-square distribution is solvable with "Basic Statistics and Probability".