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Inferential Statisticshard
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In a clinical trial comparing a new medication to a placebo, the treatment effect Δ\DeltaΔ is found to be Δ^=0.5\hat{\Delta} = 0.5Δ^=0.5 with SE(Δ^)=0.2SE(\hat{\Delta}) = 0.2SE(Δ^)=0.2. If a researcher tests H0:Δ=0H_0: \Delta = 0H0​:Δ=0 using the Wald statistic, but the likelihood surface for Δ\DeltaΔ is notably asymmetric due to the small sample size, which statement best characterizes the limitation of the Wald test?