  We electrically detect charge current induced spin polarization on the
surface of molecular beam epitaxy grown Bi$_2$Te$_3$ thin film in a
two-terminal device with a ferromagnetic MgO/Fe and a nonmagnetic Ti/Au
contact. The two-point resistance, measured in an applied magnetic field, shows
a hysteresis tracking the magnetization of the Fe. A theoretical estimate is
obtained for the change in resistance on reversing the magnetization direction
of Fe from coupled spin-charge transport equations based on quantum kinetic
theory. The order of magnitude and the sign of the hysteresis is consistent
with spin-polarized surface state of Bi$_2$Te$_3$.
