Identify the independent variable, the dependent variable, and the unit of analysis in the following hypothesis

Prof. Cook, always interested in improving her teaching effectiveness, has decided to undertake a analysis of her student evaluations from the past several years. The last question on the student form, Question 17, is "Would you recommend this professor to another student?" A matter of spec to Prof. Cook is how she is viewed by students of different majors. Each of Prof. Cook's students c placed into a category according to the student's major school. (Students who have majors from one school are not included.) So, there are two variables under consideration: student's major scr ("School of Social Sciences", "School of Engineering", or "School of Physical Sciences") and answe Question 17 ("No", "Maybe", or "Yes"). The contingency table below contains a summary of the responses to Question 17 for a random sa 500 of Prof. Cook's students. In each cell of the table is written three numbers: the first number is observed cell frequency (fo); the second number is the expected cell frequency…

A. P (win/regular) = 0.82  P (win/prevent) = 0.64  Conclusion: You are more likely to win by playing prevent defense. B.  P (win/regular) = 0.33 P (win/prevent) = 0.67 Conclusion: You are more likely to win by playing prevent defense.  C.  P (win/regular) = 0.82  P (win/prevent) = 0.64  Conclusion: You are more likely to win by playing regular defense.  D.  P (win/regular) = 0.33 P (win/prevent) = 0.67 Conclusion: You are more likely to win by playing regular defense.

Does college major depend on gender? Researchers ask a group of college students about their majors. They also group the students by their gender. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 5% significance level is performed.    Arts   Humanities   Sciences   Row Total  Men  11 5 19 35 Women  11 22 9 42 Column Total  22 27 28 77 (a)  The null and alternative hypotheses are: H0: The two variables are independent, so gender does not affect college major. Ha: The two variables are dependent, so gender does affect college major. (b)  Compute the test statistic, rounded to one decimal place. (Use expected frequencies that are also rounded to one decimal place.)