The species with the greatest proton affinity will be the strongest base, and its conjugate acid will be the weakest acid. The weakest acid will have the smallest value of $\mathrm{K}_a$. Since $\mathrm{HI}$ is a stronger acid than $\mathrm{HF}$ which is a stronger acid than $\mathrm{H}_2 \mathrm{S}$, a partial order of proton affinity is
$\mathrm{I}^{-} < \mathrm{F}^{-} < \mathrm{HS}^{-}$
Since $\mathrm{NH}_3$ is a very weak acid, $\mathrm{NH}_2^{-}$must be a very strong base. Therefore the correct order of proton affinity is
$\mathrm{I}^{-} < \mathrm{F}^{-} < \mathrm{HS}^{-} < \mathrm{NH}_2^{-}$