Use in-built dataset 'mtcars' and consider two attributes 'carb' and 'gear'. Can we conclude that two attributes are independent at the significant level 0.05? To do so, (use R to do hypotheses testing) (15) e) State the null and alternative hypotheses. f) Using an appropriate code, compute the contingency observation table and run the test of independence of two attributes. g) Identify the decision rule and express your decision. II. Let classify the cars with three gears into class 1, 4 gears into class 2 and 5 gears into class 3. Apply the goodness of fit test to examine whether, 1=2=3 at the significant level =0.01. (use R to apply hypotheses testing)