Political preferences Gender Party A Party B Total Male 55 65 120 Female 50 30 80 Total 105 95 200 Compute probabilities of male and female, P (M) and P(F), respectively. [2] Calculate probability of probability of part A and party B, say P (A) and P(B), respectively. [2] If men and women do not differ, assume that gender and political party preferences are independent of each other. Calculate probability of gender and political preferences. [2] Calculate the deviance and chi-square of goodness-offit statistics. [10] Do men and women significantly differ in their political preferences? Use a: = 0.05. [4]