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Q43Section I (Objective (Q1–Q80))43 of 80

Statistical Inference — type I error of a randomised Poisson test

To test mean of the Poisson distribution H0:λ=1H_0 : \lambda = 1 versus H1:λ=2H_1 : \lambda = 2, based on the single observed value from the Poisson distribution, the following procedure is considered: "Reject H0H_0 with probability one when the observed value (x)>1(x) > 1. If x=1x = 1 is observed, then toss an unbiased coin and reject the null hypothesis if head comes up." What is type I error in the experiment?

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