An overwhelming majority of auto insurance buyers who switch carriers make the change based on price, but not many are actively shopping around, according to a survey from InsuranceQuotes.com.

In a national telephone survey of 1,000 adults conducted in early November by Princeton Data Source for InsuranceQuotes.com, within the past 12 months only 21 percent of those surveyed say they shopped for car insurance. Of those shoppers, 43 percent switched carriers. The vast majority who switched, 81 percent, made the change because of price.

“This suggests that many people who shopped around liked what they found,” says John Egan, managing editor of InsuranceQuotes.com in a statement. “Consumers don't care as much about customer service or reputation—they want to know who's going to save them the most money. Everyone should take an hour or two to compare a few different carriers. It can't hurt, and you might be amazed by how much money you can save.”