This is wildly off-base. The University of Chicago is in Hyde Park, a quiet, leafy, upper-middle class oasis on the South Side. It’s quite lovely, really. Crime rates in Hyde Park are relatively low, though there is some property crime–thefts of computers left carelessly about, some auto theft, etc., but very little violent crime. However, some of the surrounding neighborhoods–Woodlawn to the south, Greater Grand Crossing to the southwest, Washington Park to the west, Grand Boulevard to the northwest—have high crime rates. Kenwood, immediately to the north of Hyde Park, is a mostly upper middle class neighborhood with crime rates similar to Hyde Park; it’s where the Obamas lived and still maintain a home. Lake Michigan lies to the east.
Because so many of the surrounding neighborhoods are sketchy at best, Hyde Park has a bit of an island feel. Most U of C students make extensive use of the Hyde Park neighborhood but rarely venture outside it. When they do, it’s usually to visit the Loop or popular North Side areas with lots of bars, restaurants, nightclubs, movie theaters, live theater venues, comedy clubs, museums, outdoor festivals, and the like. But the South Side also has its attractions, including Chinatown, the Chicago White Sox in Bridgeport, and some good blues bars (though much of this scene has migrated downtown or to the north side).
Northwestern has a pretty suburban feel, IMO, but Evanston is an older, “mature” suburb with some stately homes and quiet, tree-lined streets. The areas immediately adjacent to the Northwestern campus are quite upscale. Evanston also has some more troubled neighborhoods, but these are farther away from campus. Downtown Evanston is convenient for shopping, restaurants, etc., and Chicago’s North Side and the Loop are easily accessible by convenient El service.