Step 1: Understanding the Concept
In the electron transport system (ETS), electron carriers pump protons from the matrix to the outer chamber.
The protons then flow back through the \(\text{F}_{0}\) channel of the oxysome, and \(\text{F}_{1}\) makes ATP.
Step 2: Statement I
It says \(\text{F}_{0}\) channels protons from the inner chamber to the outer chamber. This is false, because the \(\text{F}_{0}\) channel carries protons from the outer chamber back into the matrix.
Step 3: Statement II
Cytochrome c is a small iron-containing protein, but it is only loosely held on the outer face of the inner membrane as a mobile carrier between complex III and complex IV. It is not tightly bound, so this statement is also false.
Final Answer:
Both statements are incorrect, option (B).
\[ \boxed{\text{(B) }\text{Both statement I and statement II are incorrect}} \]