Solution (source code)

= Solution
{c}

\b[False.] A <test size> constrains the <probability> of rejection conditional on the <null hypothesis> being true:
$$
\mathbb P_{H_0}(\text{reject }H_0)=\alpha
$$
for an exact size-$\alpha$ test of a <simple hypothesis>. It does not assign a <posterior probability> to that <statistical hypothesis> after observing nonrejection. In the frequentist interpretation, the <statistical parameter> is fixed and the data are random. Nonrejection can occur even when the <alternative hypothesis> is true; for example, it is particularly likely for an alternative against which the test has low <statistical power>. A <posterior probability> would require a <prior distribution> and a Bayesian model.