Do the fender headphones which come with the squier frontman 15g amp actually plug into the amp??

I'm new to guitars, i just got one on the 9th of june, i brought the squier affinity strat and frontman 15g amp package. It came with headphones and the amp has a jack in it which says headphone jack but the slot is the size of the guitar cable which goes into the input while the headphones have the same input thing as the slots you get with ipods and mp3 players and such? Can anyone please help clarify this to me?