Question Five $(13$ Marks$)$Case Study: Sampling Methods in Market Research in South AfricaA market research firm in South Africa is tasked with conducting a survey to understandconsumer preferences for a new line of environmentally friendly household products. Thetarget population comprises households across different income brackets and regions inSouth Africa. The research team decides to employ simple random sampling to ensure eachhousehold in the target population has an equal chance of being selected.Required:Page $5$ of $55\mathrm{.}1$ How would you implement simple random sampling in this scenario, and what are theadvantages of using this method? $(4$ Marks$)5\mathrm{.}2$ The research team considers using systematic random sampling to streamline thesampling process. How would you determine the sampling interval $($k$)$ for systematicrandom sampling in this case, and what are the potential drawbacks of this methodcompared to simple random sampling? $(3$ Marks$)5\mathrm{.}3$ What are the stages involved in cluster random sampling, and what considerations shouldbe taken into account when selecting clusters? $(2$ Marks$)5\mathrm{.}4$ The research team considers various non$-$probability sampling methods due to practicalconstraints. Discuss the advantages and disadvantages of convenience sampling in thisscenario compared to probability sampling methods. $(4$ Marks$)$