sex - 1 is male, 2 is female, 3 is other age - 1 to 7 where 1 is under 18; 7 is 65 or over. each bucket included in SI. educ - 1 to 8 where 1 is elementary school; 8 is doctorate (or more). each bucket included in SI. CRT1S - score out of 3 on CRT CRT2S - score out of 4 on CRT-2 BNTS - score out of 4 on BNT mind1Y - measure 1 of rule 1 - conjunction - 1 if correct, 0 if incorrect mind2Y - measure 1 of rule 2 - probability maximizing - 1 if correct, 0 if incorrect mind3Y - measure 1 of rule 3 - omission bias - 1 if correct, 0 if incorrect mind4Y - measure 1 of rule 4 - base rate - 1 if correct, 0 if incorrect mind5Y - measure 1 of rule 5 - denominator neglect - 1 if correct, 0 if incorrect mind6Y - measure 1 of rule 6 - covariation - 1 if correct, 0 if incorrect SCmind1Y - measure 2 of rule 1 - conjunction - 1 if correct, 0 if incorrect SCmind2Y - measure 2 of rule 2 - probability maximizing - 1 if correct, 0 if incorrect SCmind3Y - measure 2 of rule 3 - omission bias - 1 if correct, 0 if incorrect SCmind4Y - measure 2 of rule 4 - base rate - 1 if correct, 0 if incorrect SCmind5Y - measure 2 of rule 5 - denominator neglect - 1 if correct, 0 if incorrect SCmind6Y - measure 2 of rule 6 - covariation - 1 if correct, 0 if incorrect mind - score out of 6 on items mind1Y-mind6Y SCmind - score out of 6 on items SCmind1Y-SCmind6Y stud1t1 - the time taken in seconds to answer measure 1 of problem 1 (conjunction) stud2t1 - the time taken in seconds to answer measure 1 of problem 2 (probability maximizing) stud3t1 - the time taken in seconds to answer measure 1 of problem 3 (omission bias) stud4t1 - the time taken in seconds to answer measure 1 of problem 4 (base rate) stud5t1 - the time taken in seconds to answer measure 1 of problem 5 (denominator neglect) stud6t1 - the time taken in seconds to answer measure 1 of problem 6 (covariation) sc1t1 - the time taken in seconds to answer measure 1 of problem 1 (conjunction) sc2t1 - the time taken in seconds to answer measure 2 of problem 2 (probability maximizing) sc3t1 - the time taken in seconds to answer measure 3 of problem 3 (omission bias) sc4t1 - the time taken in seconds to answer measure 4 of problem 4 (base rate) sc5t1 - the time taken in seconds to answer measure 5 of problem 5 (denominator neglect) sc6t1 - the time taken in seconds to answer measure 6 of problem 6 (covariation) follow - participants' self-reports of the extent to which they followed our experimental instructions (0-100) perfest - participants' estimates of how many problems they answered correctly (out of 12) duration - total time taken as captured by Qualtrics condition - experimental condition. 1 = control; 2 = slow; 3 = fast; 5 = incentive (condition 4 is the within-subjects condition detailed in the documents all_data_within_variables and all_data_within.csv bloco - whether block one (the measure 1s) of study problems (s1 to s6) or block two (the measure 2s) of study problems (sc1 to sc6) was presented first lato - the latin square order of our study items. 1 denoted 123456, 2 denoted 234561, 3 denoted 345612, 4 denoted 456123, 5 denoted 561234, 6 denotes 612345 pmatchL - whether the normative answer to the probability maximizing problem was on the left or the right s1 - measure 1 of study problem 1 - conjunction - 1 is correct, 0 if incorrect s2 - measure 1 of study problem 2 - probability maximizing - 1 is correct, 0 if incorrect s3 - measure 1 of study problem 3 - omission bias - 1 is correct, 0 if incorrect s4 - measure 1 of study problem 4 - base rate - 1 is correct, 0 if incorrect s5 - measure 1 of study problem 5 - denominator neglect - 1 is correct, 0 if incorrect s6 - measure 1 of study problem 6 - covariation - 1 is correct, 0 if incorrect sc1 - measure 2 of study problem 1 - conjunction - 1 is correct, 0 if incorrect sc2 - measure 2 of study problem 2 - probability maximizing - 1 is correct, 0 if incorrect sc3 - measure 2 of study problem 3 - omission bias - 1 is correct, 0 if incorrect sc4 - measure 2 of study problem 4 - base rate - 1 is correct, 0 if incorrect sc5 - measure 2 of study problem 5 - denominator neglect - 1 is correct, 0 if incorrect sc6 - measure 2 of study problem 6 - covariation - 1 is correct, 0 if incorrect success - total number of questions answered correctly out of 12