I have a dataset that describe the number of passengers that fly with an airline per day. The airline guesses that on average 1300 passengers fly per day and I want to test this hypothesis using a likelihood ratio test.
My first thought was to set the hypotheses: H0: λ = 1300 and H1: λ <>1300. According to wikipedia the likelihood ratio test is: -2ln(likelihood for null model) + 2ln(likelihood for alternative model).
Using R I can find the likelihood of the null hypothesis but how can I calculate the likelihood for the alternative hypothesis in a Poisson distribution?