Inferential Statisticshard
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In a study comparing the efficacy of two treatments, a researcher calculates the difference in mean recovery times Δ=μ1μ2\Delta = \mu_1 - \mu_2. If the test statistic is Z=Δ^Δ0SE(Δ^)Z = \frac{\hat{\Delta} - \Delta_0}{SE(\hat{\Delta})} and the researcher observes Z=2.8Z = 2.8 in a two-tailed test, what conceptual shift occurs if the researcher decides to use a Bayesian credible interval instead of a frequentist confidence interval for the same data?