We implement global fits to CERN LEP data with nonuniversal interactions. Values of Rb consistent with experiment and alpha(s)(M(Z)(2)) consistent with low energy experiments are obtained. We also find that the chi(2) is better than the standard model. We argue that other kinds of new physics are needed to explain the difference between the values of alpha(s)(M(Z)(2)) from low energy experiments and from the three-jet ratio.