Given below are two statements:
Statement $I$: $A$ catalyst cannot alter the equilibrium constant $(K_{C})$ of the reaction,temperature remaining constant.
Statement $II$: $A$ homogenous catalyst can change the equilibrium composition of a system,temperature remaining constant.
In the light of the above statements,choose the correct answer from the options given below:

• A
  Statement $I$ is false but Statement $II$ is true
• B
  Both Statement $I$ and Statement $II$ are true
• C
  Both Statement $I$ and Statement $II$ are false
• D
  Statement $I$ is true but Statement $II$ is false