 Solution

The positive intercept means the fitted baseline probability for untreated women exceeds $1/2$. The positive coefficient ${\hat{\beta }}_S=0.1854$ makes each fitted male log odds exceed the corresponding female log odds, while ${\hat{\beta }}_T=-0.3698$ makes treatment lower the fitted log odds for either sex. Numerically the fitted probabilities are approximatelyTheir order is $F1<M1<F0<M0$, which differs from the observed order $F1<M0<M1<F0$. The additive model therefore cannot reproduce the observed ordering.