Final answer:
The Big Bang theory is supported by evidence like cosmic microwave background radiation and redshift of galaxies, whereas the steady state theory lacks evidence and is contradicted by observations showing the universe's evolution.
Step-by-step explanation:
The Big Bang theory is supported by several pieces of scientific evidence. One such evidence is the observation of the cosmic microwave background radiation (CMBR), a remnant heat from the early universe that was predicted by the theory. Another supporting observation is the redshift of galaxies, indicating that the universe is expanding, as would be expected from a singular explosive event. On the other hand, the steady-state theory, which was a prior hypothesis suggesting that new matter was continuously created to maintain a constant density as the universe expanded, has lost favor. This is due to the lack of evidence for new matter creation and observations that show the universe was different in the past, such as the evolution of galaxies and the distribution of quasars.