# 4 722 randomly selected students in a business school

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4. 722 randomly selected students in a business school were asked what their major was. Half the students were males and half were females.

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Females* Major Males* Major Category Accounting Admin Econ Finance Pie Chart of Females, Males vs Major a. The pie charts shown above represent what distribution? i. They represent the marginal distribution of gender ii. They represent the marginal distribution of major iii. They represent the conditional distribution of gender given major. iv. They represent the conditional distribution of major given gender. b. Looking at the graphs above, are gender and major independent or dependent? Explain. c. Describe the relationship between gender and major using the appropriate percentages. One sentence only – that is all we’ll grade. 5. 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. Both seasons combined
Mike Matt Hits 85 68 At Bat 110 110 Season 1 Season 2 Mike Matt Mike Matt Hits 5 59 Hit 80 9 At Bat10 100 At Bat 100 10 Is this an example of Simpson’s Paradox? If yes, explain why it’s a Paradox and why it’s occurring. If no, explain why not.
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