Parity violation at the level of terrestrial biopolymers, as seen in proteins, DNAs, and RNAs, and parity violation at the level of nuclear processes, as evident in longitudinally polarized beta-particles and parity-violating energy differences (PVEDs), are discussed and their fundamental importances are emphasized. Attempts to find a causal connection between the unique homochirality of biopolymers and parity violation at the nuclear level, and speculations that the former is a consequence of the latter, are reviewed. Consideration of all lines of evidence leads to the conclusion that there is no substantiation for such a causal connection, and that the two levels of parity violation are entirely independent of each other.