Anchorage’s crime rate, both for violent and property crimes, is higher than both Alaska and the U.S. as a whole. When compared to similarly sized U.S. cities, Anchorage has a higher rate of violent crime. Anchorage, and Alaska in general, also have very high rates of sexual assault in comparison with the rest of the country, especial with Native American demographics as victims.
Take precautions: pepper spray is legal (use at your own risk) in America, rape whistles will draw attention to your location, try to remain in a group and in populated areas.