Problem 1
Assuming the null model is true, results at least this incompatible with the null would occur about 3% of the time; it is not the probability the null is true.
Faculty solution guide
Accept equivalent statistically correct reasoning. Require context, design, assumptions, uncertainty, and limits.
Assuming the null model is true, results at least this incompatible with the null would occur about 3% of the time; it is not the probability the null is true.
A common error is to report a calculation without identifying the population, design, assumptions, uncertainty, context, or limits on causal and generalizing claims.
A complete response identifies population, cases, variables, parameter or estimand, study design, and conditions for Logic of Significance Tests.
Repair the earliest invalid assumption, display, calculation, or inference; then rerun the interpretation and state how the correction changes the claim.
A strong application defines context, data source, design, analysis plan, uncertainty, and limits on generalization or causation.
Use at least two of: independent recomputation, alternative graph or model, residual/diagnostic check, resampling, sensitivity analysis, subgroup analysis, simulation, or comparison with a known benchmark.