  We present a statistical characterization of circumstellar disk orientations
toward 12 protostellar multiple systems in the Perseus molecular cloud using
the Atacama Large Millimeter/submillimeter Array at Band 6 (1.3 mm) with a
resolution of 25 mas (8 au). This exquisite resolution enabled us to resolve
the compact inner disk structures surrounding the components of each multiple
system and to determine the projected 3-D orientation of the disks (position
angle and inclination) to high precision. We performed a statistical analysis
on the relative alignment of disk pairs to determine whether the disks are
preferentially aligned or randomly distributed. We considered three subsamples
of the observations selected by the companion separations, a <100 au, a >500
au, and a < 10,000 au. We found for the compact (< 100 au) subsample, the
distribution of orientation angles is best described by an underlying
distribution of preferentially aligned sources (within 30deg) but does not rule
out distributions with 40% misaligned sources. The wide companion (>500 au)
subsample appears to be consistent with a distribution of 40%-80%
preferentially aligned sources. Similarly, the full sample of systems with
companions (a< 10, 000 au) is most consistent with a fractional ratio of at
most 80% preferentially aligned source and rules out purely randomly aligned
distributions. Thus our results imply the compact sources (<100 au) and the
wide companions (>500 au) are statistically different.
