As #9 says....statistically CT is very dangreous.But you would never know it walking around the central area or the beach suburbs by day......the vast majority of crime takes place in places where a tourist would never go alone,or in the middle of the night (though i have walked around plenty of times in the evening in CT and never had a problem).
You need to take the usual precautions....like you would in a European or American city...don't wander around alone at night,don't flash jewellery or a big camera,try to look confident and that you know where you are going.

