Before revision:  While multiple testing procedures reveal that one shooter can be inferred to exhibit shooting significantly inconsistent with randomness , we find that participants in a survey of basketball fans over-estimate an average player's streakiness, corroborating the empirical support for the hot hand fallacy .
After revision:  While multiple testing procedures reveal that one shooter can be inferred to exhibit shooting significantly inconsistent with randomness , we find that the evidence against randomness is limited to this shooter. Our results provide a mathematical and statistical foundation for the design and validation of experiments that directly compare deviations from randomness with human beliefs about deviations from randomness in Bernoulli sequences .