D they represent the conditional distribution of

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d. They represent the conditional distribution of major given gender. 19. There appears to be an association between gender and major. Explain why, using info from the above pie charts. (Note percentages are not given; just describe them as best you can; this happens sometimes in the ‘real world’.) 20-23. Mike and Matt are on a baseball team. They keep track of their batting statistics for two seasons. They count the number of times they got a hit, and the number of times they were at bat (that means the number of times they attempted to make a hit.) The data are below, for each season separately and for the two seasons combined. Season 1 Season 2 Mike Matt Mike Matt Hits 5 59 Hit 80 9 At Bat 10 100 At Bat 100 10 Both seasons combined Mike Matt Hits 85 68 At Bat 110 110 20. Who was the better hitter in Season 1? Explain why.
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21. Who was the better hitter in Season 2? Explain why. 22. Who was the better hitter overall (both seasons combined?) Explain why. 23. Is this an example of Simpson’s Paradox? If yes, explain WHY it’s occurring. If not, explain WHY NOT.
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