Solution
= Solution
When $\alpha_i=\alpha$, the <law of total variance> gives
$$
\operatorname{Var}(Y_i)=\mu_i+\alpha\mu_i=(1+\alpha)\mu_i.
$$
This is the quasi-Poisson mean-variance relation with constant dispersion, so the most appropriate printed p-value is $0.0982$ from model2.