Just anecdata. I had a family member living there for the six years, several addresses including their condo on Drexel Ave, one block from Cottage Grove (more or less the western boundary of campus proper). Their first child was born there, mom often went on long walks with the stroller to parks, etc with no problems. I visited several times, never had a problem. I walked to The Cove at night for a few beers, Sister Sledge on the jukebox was a conversation starter. Reggie's at the Beach (63rd St.) was a nice place, easy parking.
Every large city has "dangerous" areas, Hyde Park probably has fewer per capita than most.