Answer Happy

3 A local council employs 500 people, of these 150 are women and 350 are men. During the Covid pandemic 120 of the women and 100 of the men worked from home. The rest were required to work as normal at council offices. The council wishes to carry out a survey of their employees to determine job satisfaction during the pandemic. An overall sampling fraction of 10% has been decided on and they have decided to stratify by gender and location of work (home or office). (i) Why might the company have decided to stratify by gender and location of work? (2 marks) (ü) Suppose that the company wishes to use a larger sampling fraction of female employees. If they wish to sample 15% of the women in each location category, while still keeping the overall sampling fraction the same at 10%, how many employees will be sampled in total and in each gender category? (4 marks) (iii) They propose to sample people at the Christmas party in 2021 (assuming Covid restrictions allow this) as they think that it will be an easy opportu- nity to find interviewees. Give three drawbacks of this proposal. (3 marks) (iv) After consultation they decide to instead conduct the survey over email. Af- ter the survey was sent out they had quite a large number of non-responses from people who said they were too busy. Should the company be worried about these non-responses or can they just ignore them? Explain your an- (3 marks) swer.