2. The researcher also believes that ethnicity might affect the probability of arrest and obtains the following data non-blackon- mixed raceon- Black Hispanic Hispanic Hispanic number arrested 794 534 1252 number not arrested 1384 1210 2899 a) Is the probability of being arrested independent of ethnicity? [10 marks] b) How would we go about testing whether a particular ethnic group is different from the others? [5 marks] c) How would we test whether the probability of being arrested is affected independently by both gender and ethnicity? What about testing for whether the effect of gender is different for different ethnic groups? [10 marks] d) Why might this analysis give us the wrong answer about the relationship between ethnicity, gender and the probability of arrest? [5 marks]