  We analyze the 0.5-10 keV spectra of six Seyfert 2 galaxies observed with the
X-ray satellite ASCA: Mrk 3, Mrk 348, Mrk 1210, Mrk 477, NGC 7212, and Was 49b.
These galaxies were selected based on their possession of optical polarized
broad lines. In the 2-10 keV band, their spectra are heavily absorbed, with
2-10 keV absorption-corrected X-ray luminosities ranging from 10^{42} to
10^{43} erg/s. The observed X-ray emission is generally only about one tenth
that predicted based on their known infrared and H_beta luminosities. This
apparent X-ray weakness can be understood if a considerable fraction of the
nuclear activity is completely blocked from view by thick matter along our line
of sight to the nucleus.
  All of these galaxies possess significant soft X-ray emission whose origin
appears to be scattered light from their nuclear emission. Based on this
hypothesis, we estimate a typical scattering efficiency for X-rays to be about
10%. This efficiency is larger than the few % found for ordinary Seyfert 2
galaxies with no report of optical polarized broad lines. A large scattering
efficiency is best explained by an apparent weakness of the hard X-ray
luminosity rather than unusually strong scattered light in the soft band. The
difference of the apparent weakness is probably associated with viewing angle.
