  A recent experiment by the NuTeV collaboration resulted in a surprisingly
high value for the weak mixing angle $\sin^2 \theta_W$. The Paschos-Wolfenstein
relation, relating neutrino cross sections to the Weinberg angle, is of pivotal
importance in the NuTeV analysis. In this work, we investigate the sensitivity
of the Paschos-Wolfenstein relation to nuclear structure aspects at neutrino
energies in the few GeV range. Neutrino-nucleus cross sections are calculated
for $^{16}$O and $^{56}$Fe target nuclei within a relativistic quasi-elastic
nucleon-knockout model.
