We present an analysis of the statistical properties of Mg II absorber
s found in the spectra of 56 intrinsically faint, steep-spectrum radio
quasars. We observe for the first time a significant excess of associ
ated Mg II absorbers over the number expected from cosmologically dist
ributed absorbers. This result is in contrast to previous Mg II survey
s in which the QSOs were optically selected. This distinction is simil
ar to the result for associated C IV absorbers, in which intrinsically
faint, steep-spectrum quasars show excess associated absorption and i
ntrinsically bright QSOs (both radio-loud and radio-quiet) do not show
an excess. From our spectra a statistically complete list of absorpti
on lines is derived, and we find 29 Mg II absorbers, 18 of which have
not been previously reported. We also determine several characteristie
s of the quasar emission lines in our spectra. The Mg ii absorber dist
ribution as a function of redshift and equivalent width is calculated
both for our sample alone and from our sample combined with spectra fr
om other surveys. For the redshift distribution n(z) = n(1 + z)gamma,
we obtain, using the combined sample, the values gamma = 1.11 +/- 0.46
for W(min) = 0.6 angstrom and gamma = 2.47 +/- 0.68 for W(min) = 1.0
angstrom. We find that the distribution of strong absorbers is inconsi
stent with no evolution at a confidence level between 2.2 and 2.9 sigm
a, depending on the deceleration parameter q0. The deviation from no e
volution is similar to what had been previously reported.