That's exactly it. English uses inflection along with grammar to determine what you're saying. "How you say it matters as much as what you say," sort of. In this case, that sentence sounds awkward in English because we have certain ordering of words that always imply one thing or another, despite inflection.
In this case... "Are you hungry?" is the way you'd say the question. To make it a statement, it would be "You are hungry."
no subject
In this case... "Are you hungry?" is the way you'd say the question. To make it a statement, it would be "You are hungry."