Primary Outcomes (explanation)
Belief improvement is constructed as follows. At Stage 1, the participant reports a predicted monthly resource change Δ̂₁ (a signed dollar amount). At Stage 2, after receiving the assigned treatment, the participant reports a revised prediction Δ̂₂. The true monthly resource change Δ* is computed programmatically from Policy Rules Database (PRD) rules for the vignette household, taking into account wages, taxes, and all relevant benefit programs (SNAP, Medicaid, CCDF, TANF, EITC, Section 8) at both the pre- and post-offer income levels. The absolute prediction error at each stage is |Δ̂ₛ − Δ*|. Belief improvement is the difference |ε₁| − |ε₂| = |Δ̂₁ − Δ*| − |Δ̂₂ − Δ*|, measured in dollars per month. Positive values indicate improvement; negative values indicate that the treatment worsened accuracy. To limit the influence of extreme responses, predicted changes will be winsorized at the 1st and 99th percentiles of the Stage 1 distribution prior to computing errors. The winsorization thresholds will be determined from the data and applied symmetrically to both stages.