  Fedorov and Sabbah--Yu calculated the (irregular) Hodge numbers of
hypergeometric connections. In this paper, we study the irregular Hodge
filtrations on hypergeometric connections defined by rational parameters, and
provide a new proof of the aforementioned results. Our approach is based on a
geometric interpretation of hypergeometric connections, which enables us to
show that certain hypergeometric sums are everywhere ordinary on
$|\mathbb{G}_{m,\mathbb{F}_p}|$ (i.e. "Frobenius Newton polygon equals to
irregular Hodge polygon").
