4) The following data shows promotion data from the Vancouver police department. Promotion Status Gender male female Total Promoted 288 36 324 Not Promoted Total 672 204 876 960 240 1200 e) Are the events "Promoted" and "male" are independent? Explain why by calculating the relevant probabilities. [2 marks] f) We are testing the independency between gender and promotion status. Calculate the expected count for the bottom right cell (i.e., 'Not promoted' and 'female'), and explain what this number means. [2 marks] g) The Chi-square statistic has been calculated to be 21.92. What inference would you make based on this value of Chi-square? Use decision point and justify your answer. [2 marks]