Consider the University of California, Berkeley (UCB) admissions data discussed in class, and explored in the...

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Consider the University of California, Berkeley (UCB) admissions data discussed in class, and explored in the simpsons.paradox.r example. (a) Construct and print the two-way table of the department and the admit status, as well as a mosiac plot of the table. Do department and the admit status appear independent? Argue for your answer. (b) Construct and print the two-way table of department and gender, as well as a mosiac plot of the table. Do these variable appear independent? Justify your answer. (c) Construct a two-way table of gender and admit status for the applicants to deparment F and create its mosaic plot. For the applicants to department F do gender and admit status appear to be independent? (This question could be rephrased to ask if admit status and gender conditionally independent given department F). (d) Create a l-way table of the gender of Rejected students (without regard for department). Consider the University of California, Berkeley (UCB) admissions data discussed in class, and explored in the simpsons.paradox.r example. (a) Construct and print the two-way table of the department and the admit status, as well as a mosiac plot of the table. Do department and the admit status appear independent? Argue for your answer. (b) Construct and print the two-way table of department and gender, as well as a mosiac plot of the table. Do these variable appear independent? Justify your answer. (c) Construct a two-way table of gender and admit status for the applicants to deparment F and create its mosaic plot. For the applicants to department F do gender and admit status appear to be independent? (This question could be rephrased to ask if admit status and gender conditionally independent given department F). (d) Create a l-way table of the gender of Rejected students (without regard for department).

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