In the city of Burgham, a random sample of 120 city workers were asked their opinion about the city council's "No Jab -No Job" proposal - which involves the council only employing workers who had been vaccinated. As part of marketing this proposal, the council wish to understand whether there was a relationship between the category of employee, and their opinion. The data is summarised in the table below. Executives Managers TOTAL Blue Collar White Collar + + + + + 3 2 41 In favour 24 12 + + + 33 Against 11 16 2 + + + 4 5 8 46 Indifferent 19 14 + + + + 120 TOTAL 54 42 10 14 a) Being careful to state your conclusions, and using a level of significance of alpha = 10%, test whether workers' opinion of the proposal is independent of their employment category. [15 marks] b) The council's Human Resource Manager claims that your conclusion from part [a] proves that being a blue collar will cause one to have a different opinion of the proposal to a white collar worker. Explain whether the Human Resource Manager is correct. [2 marks]