Among many moth-eaten perceptions about the American diet is one that links the disproportionate consumption of fast food to low-income families.

Back in 2011, a national study by a team at UC Davis concluded that as American salaries grow into the upper echelons of middle income, so does fast-food intake. “Low prices, convenience and free toys target the middle class— especially budget-conscious, hurried parents— very well,” wrote professor J. Paul Leigh, the senior author of the study. He adds that fast food is most popular among the people who are less likely to be obese.

But could that possibly be true? According to a 2013 Gallup study, the fries don’t lie:

[F]ast food is hardly the province solely of those with lower incomes; in fact, wealthier Americans—those earning $75,000 a year or more—are more likely to eat it at least weekly (51%) than are lower-income groups. Those earning the least actually are the least likely to eat fast food weekly—39% of Americans earning less than $20,000 a year do so.

Now a new study, this time by the Centers for Disease Control and Prevention, weighs in on the matter. While the national survey did show that on a given day, roughly one-third of American children will eat fast food, the breakdown among income levels is pretty even.