The Ford Foundation in the United States commissioned a study by Brandeis University, and they looked at two groups. One was FIRST students and one was another group of students with similar backgrounds and achievement in high school. They took a look at four metrics: those attending college, aspiring to post-graduate degrees, majoring in science and engineering, and majoring specifically in engineering. As you can see, the students who had the chance to build that confidence in FIRST Robotics fared much higher on all four of those metrics.
On April 21st, 2015. See this statement in context.