Inferential Statisticshard
0:00.0

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