I have been told that the correct answer to this particular question is: "Announce over the radio that you are missed approach."
At that point, captain is in position to land illegally or make the go-around. First Officer is alleviated of any responsibility because he announced the go around.
Another possible answer to the dilemma is that the interviewer wanted to see if you knew that you could leave minimums if you spot lights, runway markings, etc. There is nothing wrong with going down to "take a look," continuing to the missed approach point, then going around if nothing is spotted.
Having been a charter pilot for many years before beginning my airline career, I can tell you that many times I ducked down to minimums, spotted a suitable visual aid, then continued down to a successful landing. A precision approach is different. "DA" marks the decision altitude at which you have several seconds to decide whether or not to go around or land.
Could this be what your interviewer was looking for?