Question A (7 marks) Suppose you want to conduct a survey of benefit packages available in private businesses in greater Melbourne. You have a directory of businesses that lists companies alphabetically. The directory lists the name of the business, suburb, and number of employees of 2500 businesses. The businesses are equally distributed across 250 suburbs; each suburb has 10 listed businesses. Among the 2500 listed businesses, 200 have less or equal to 10 employees, 350 have 11-25 employees, 550 have 26-50 employees, 950 have 51-100 employee, and 450 have more than 100 employee. A snapshot of a section of the directory looks as follows. Company Name 2020 Global Business Abbott Business ABC Business Ace Business Active Business Ada Business Advantage Business Ahrens Business All Business Accredited Business Atkins & Race Business Baker Farlow Business Betta Business Better Business Suburb Melbourne Port Melbourne Hawthorn Carlton St Kilda South Yarra Southbank St Kilda South Yarra Sydney Docklands St Kilda South Yarra Richmond Number of Employees less or equal to 10 11-25 more than 100 less or equal to 10 51-100 26-50 more than 100 11-25 less or equal to 10 26-50 26-50 more than 100 51-100 26-50 . Describe how to use stratified sampling to obtain a sample of 50. Specify which variable (suburb or number of employee) you would choose for stratification and why you choose this variable, compute the number of businesses you should select from each stratum using propor- tional sampling, and discuss how to obtain the sample. Describe how to use cluster sampling to obtain a sample of 50. Specify which variable (suburb 2. or number of employee) you would choose to form clusters, why you choose this variable, and how to obtain a sample of 50 using single stage sampling.