I am having a difficult time figuring out this proposition question. The question states this: Consider the proposition: "You are not going home unless you don't want to stay in a hotel" Write the proposition in the form "if p, then q" what I have so far is "If you don't want to stay in a hotel then you are going home" which I figure is p -> ~q, however I keep second guessing myself.. if the first part is wrong, the remaining questions will also follow unfortunately Could someone point me in the correct direction if I am wrong? Or clarify that the way I am headed is at least correct?

or maybe it is ~p->q.. which seems to be where I went wrong