Given below are two statements:
Statement $I$: Modern $Homo$ $sapiens$ arose in Australia and moved across continents.
Statement $II$: $Homo$ $sapiens$ arose around $75000$ to $10000$ years ago.
In the light of the above statements, choose the most appropriate answer from the options given below:

• A
  Both Statement $I$ and Statement $II$ are correct
• B
  Both Statement $I$ and Statement $II$ are incorrect
• C
  Statement $I$ is correct but Statement $II$ is incorrect
• D
  Statement $I$ is incorrect but Statement $II$ is correct