Poisson Tests One-Sample

The One-sample Poisson Test test is used to test if the sample was drawn from a population with a Poisson Rate equal to some hypothesized value. Exact Poisson tests are performed.

Hypotheses

The following hypotheses may be tested:

Poisson-1sample Hyp

Where Lambda is the true population Rate from which the sample was drawn, and Lambda0 is the hypothesized population value.

Assumptions

  • The sample has been randomly drawn from the population (Critical)
  • The population may be modeled with a Poisson distribution (Critical)

Test Statistics

Poisson-1sampleTest

Output

Poisson-1sampleOutput

Note

The p-value is flagged with an asterisk (*) when p <= alpha.