Use simulation to decide whether data are consistent with a proposed model.
Make a simulation decision with explicit alpha
Problem
A test has \(p\text{-}\text{value}\) \(0.35\) and significance level \(0.05\), with rejection defined by \(p-\text{value}~<~\text{alpha}\). Compare the values, make the model decision, and interpret what the result does and does not establish.
Big Picture
What this problem is really about
Write the decision rule first, including whether its inequality is strict, and compare the p-value with alpha on the same scale. A p-value inside the stated rejection region leads to rejection; otherwise the model is not rejected at that threshold. Not rejecting means the evidence is insufficiently unusual under the rule, not that the model has been accepted or proved.
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