The noise figure (NF) of a fiber-optical parametric amplifier, driven by pumps with orthogonal polarizations, is quantified experimentally. It is shown that this amplifier has a signal-polarization-dependent gain, with a corresponding polarization-dependent NF. The polarization dependence of the NF is particularly large when higher input-signal powers are amplified, in Which case pump-induced noise dominates. At lower input-signal powers, the NF is less dependent on the input polarization, but increases closer to the lower-frequency pump.