This is probably why there's almost always a majority of people opposed to them before their construction.
However, once people get used to it, the opinion drastically changes.
A 1998 survey of municipalities found public opinion 68% opposed prior to construction; changing thereafter to 73% in favor. A 2007 survey found public support ranging from 22% to 44% prior to construction, and several years after construction was 57% to 87%.
Not only are roundabouts getting the okay from drivers, but the data shows that they do actually reduce accidents; especially serious accidents.
Roundabouts are safer than both traffic circles and junctions—experiencing 39% fewer vehicle collisions, 76% fewer injuries and 90% fewer serious injuries and fatalities. Because of the angle that you enter or exit a roundabout, most accidents are just glancing blows as opposed to head on or T-bone collisions.
Drivers also slow down when in or around a roundabout, which also adds to the safety.
