# Question

Let X1, X2, ... , X8 be a random sample of size n = 8 from a Poisson distribution with mean Î». Reject the simple null hypothesis H0: Î» = 0.5, and accept H1: Î» > 0.5, if the observed sum 8i=1 xi â‰¥ 8.

(a) Compute the significance level Î± of the test.

(b) Find the power function K(Î») of the test as a sum of Poisson probabilities.

(c) Using Table III in Appendix B, determine K(0.75), K(1), and K(1.25).

(a) Compute the significance level Î± of the test.

(b) Find the power function K(Î») of the test as a sum of Poisson probabilities.

(c) Using Table III in Appendix B, determine K(0.75), K(1), and K(1.25).

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