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Inferential Statisticshard
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For a Poisson distribution with parameter λ\lambdaλ, if we test H0:λ=λ0H_0: \lambda = \lambda_0H0​:λ=λ0​ against Ha:λ≠λ0H_a: \lambda \neq \lambda_0Ha​:λ=λ0​, what is the Score test statistic if the observed sample mean is Xˉ\bar{X}Xˉ?