Do researchers and laypeople understand statistics differently? I'm looking for references related to how researchers and laypeople understand concepts of statistical inference. In particular, I'm looking for articles in which subjects could demonstrate statistical competence by evaluating statistical claims. Does anyone have a relevant reference?
Even among researchers there is widespread misunderstanding of core statistics ideas. Look at the work by Geoff Cumming. Example paper title: 'Researchers misunderstand confidence intervals and standard error bars.'