Motivated by the large difference between the direct CP asymmetries A(CP)(B- -> pi K-0(-)) and A(CP) ((B) over bar (0) -> pi K-+(-)), we combine the up-to-date experimental information on B -> pi K, pi K* and rho K decays to pursue possible solutions with the nonuniversal Z' model. Detailed analyses of the relative impacts of different types of couplings are presented in four specific cases. Numerically, we find that the new coupling parameters, xi(LL) and xi(LR) with a common nontrivial new weak phase phi(L) similar to -86 degrees, which are relevant to the Z' contributions to the electroweak...
