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Please look at the graph for the details of the question. R code is needed for the result/. 3.11 A study on educational aspirations of

Please look at the graph for the details of the question. R code is needed for the result/.

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3.11 A study on educational aspirations of high school students (S. Crys- dale, Intemat. J. Camper. Social. 16: 19-36, 1975) measured aspira- tions with the scale (some high school, high school graduate, some college, college graduate). The student counts in these categories were (11, 52, 23, 22) when family income was low, (9, 44, 13, 10) when family income was middle, and (9, 41, 12, 27) when family income was high. a. Test independence of educational aspirations and family income using X 2 or G2. Explain the deficiency of this test for these data. I). Find the standardized Pearson residuals. Do they suggest any association pattern? c. Conduct an alternative test that may be more powerful. Interpret

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