Answer choice (A) states that the passage infers that if the press is "not subsidized, it is in no danger of outside control." This can be diagrammed as: not S -> not OC. The contrapositive of this is: OC -> S.
This connects to the passage through the sentence that reads "The only alternative is subsidy and, with it, outside control." If you want to diagram this sentence, you can think about it as: S -> OC. The contrapositive of this is: not OC -> not S. This is different than the logic diagrammed in answer choice (A), which is why it is ultimately incorrect.
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