This paper is about a problem that can arise when we try to harness the “wisdom of the crowd” from groups comprised of individuals who exhibit a certain kind of epistemic humility in the way they respond to testimonial evidence. I begin by setting out the problem and then make some initial steps toward solving it. The solution I develop is tentative and may not apply in all circumstances, but it promises to alleviate what seems to me to be a problem of both theoretical interest and practical importance.