Hotter hand. Our basketball player in Exercise 45 has new sneakers, which he thinks improve his game. Over his past 40 shots, he's made 32 much better than the 55% he usually shoots. Do you think his chances of making a shot really increased? In other words, is making at least 32 of 40 shots really unusual for him? (Do you think it['s his sneakers?)

Hot hand. A basketball player who ordinarily makes about 55% of his free throw shots has made 4 in a row. Is this evidence that he has a hot hand tonight? That is, is this streak so unusual that it means the probability he makes a shot must have changed? Explain.