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Inferential Statisticshard
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Consider the Wald statistic for testing H0:θ=θ0H_0: \theta = \theta_0H0​:θ=θ0​. As the sample size nnn approaches infinity, what is the asymptotic distribution of the statistic W=(θ^−θ0)T[I(θ^)](θ^−θ0)W = (\hat{\theta} - \theta_0)^T [I(\hat{\theta})](\hat{\theta} - \theta_0)W=(θ^−θ0​)T[I(θ^)](θ^−θ0​)?