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For a sample of male and female students, the bar graph on top was constructed to compare proportions who were vegetarians; the bar graph on the bottom was constructed to compare proportions who were business majors.

1501_compare proportions who were business majors.png

a. For which comparison is there a more pronounced difference between males and females: the one for proportions who are vegetarians or the one for proportions who are business majors?

b. Which chi-square statistic will be larger: the one for a relationship between gender and being a vegetarian or not, or the one for a relationship between gender and being a business major or not?

c. Which P-value will be smaller: the one for testing if there is a relationship between gender and being a vegetarian or not, or the one for testing if there is a relationship between gender and being a business major or not?

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