We examine the implications of the recently proposed "ununified" SU(2)q x SU(2)t x U(1)Y model for the properties of the neutral gauge boson (Z1) observed in both e+e- and ppBAR collisions. The mixing between the Z of the Standard Model (SM) and the Z' which is present in the Ununified Model is found to be able to substantially alter radiatively corrected SM expectations for the properties of the Z1 for a wide range of model parameters, thus leading to reasonably strong constraints on the couplings and mass of the new gauge boson using current data from LEP. Bounds from HERA are also examined and are found to be less sensitive to the effects of radiative corrections.