The total K/sup +/-p cross section was measured at the three K/sup +/- meson energies 175 er inch per 25, 225 er inch per 25, and 275 er inch per 25 Mev and the differential scattering cross section was measured at 225 Mev. The K/sup +/-p nuclear force was shown to be repulsive from the observed constructive interference with Coulomb scattering. The differential c=oss section was otherwise isotropic and could arise from either pure S-wave or pure P- wave scattering. Subtracted dispersion relations were applied to these data and the rest of the available K proton scattering data. The statistical errors on the data were found to be too large to determine the K-hyperon relative parity. However, if the K DELTA and K SIGMA relative parities are assumed to be the same, then if the coupling were scalar, the coupling constant g/sup 2/4 pi would be less than 0.6; if pseudoscalar, less than 10. (auth)