Given below are two statements.
Statement $I$ : In $H_2O_2$, each oxygen atom is assigned an oxidation number of $-1$, and in $RbO_2$, each oxygen atom is assigned an oxidation number of $-\frac{1}{2}$.
Statement $II$ : The representation of $HAuCl_4$ and $MnO_2$ in Stock notation is $HAu(III)Cl_4$ and $Mn(IV)O_2$ respectively.
Examine the above statements and choose the correct answer.

• 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