Protonsfrom 3.8 to 10.9 Mev laboratory energy have been elastically scattered from a He3 target polarized by optical pumping). The left-right scattering asymmetries were measured at laboratory angles of 45° and 90°. This data was compared to calculated values of He3 recoil polarization obtained from phase shift analyses using cross section and proton polarization data for the He3(p,p)Re3 reaction. The He3 recoil polarization data is consistent with only one of the four sets of phase shifts which give equally acceptable fits to cross section and proton polarization data.