We report measurements of the thermopower and resistivity of two supercondu
cting Ba1-xKxBiO3 single crystals with x similar to 0.4 (close to optimal d
oping), and analyze these data together with earlier data for K concentrati
ons that span the accessible metallic and superconducting phase 0.37<x<0.55
. The thermopower S for temperatures below 120 K exhibits similar behavior
to that seen for the cuprates close to optimal doping: the thermopower is p
ositive for temperatures just above T-c but decreases with increasing tempe
rature. A change of slope appears in the thermopower data at T similar to 1
20-150 K, with an increase in dS/dT above this temperature. We show that al
l the data can be accounted for by a two-band model similar to that used by
Hashimoto et al. to explain the thermopower of the related superconductor,
BaPb0.75Bi0.25O3, and are consistent with the reported persistence of the
charge-density-wave gap in the superconducting phase near the metal-semicon
ductor transition.