Question 4 (17 Marks) 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. 1 Blue Collar White Collar 1 Executives 1 Managers 1 TOTAL + + + In favour 24 12 3 2 41 Against 1 11 16 2 4 33 Indifferent | 19 14 5 8 46 TOTAL 54 42 10 14 120 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] Question 4 (17 Marks) 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. 1 Blue Collar White Collar 1 Executives 1 Managers 1 TOTAL + + + In favour 24 12 3 2 41 Against 1 11 16 2 4 33 Indifferent | 19 14 5 8 46 TOTAL 54 42 10 14 120 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]