Question 1 4 Marks) Simple random sampling (also referred to as random sampling) is the purest and the most straightforward probability sampling strategy. It is also the most popular method for choosing a sample among population for a wide range of purposes. In simple random sampling each member of population is equally likely to be chosen as part of the sample. It has been stated that the logic behind simple random sampling is that it removes bias from the selection procedure and should result in representative samples". Ideally, the sample size of more than a few hundred is required in order to be able to apply simple random sampling in an appropriate manner. It can be argued that simple random sampling is easy to understand in theory, but difficult to perform in practice. This is because working with a large sample size is not easy and it can be a challenge to get a realistic sampling frame. Population Sample Crep Simple random sampling Many dissertation supervisors advice the choice of random sampling methods due to the representativeness of sample group and less room for researcher bias compared to non-random sampling techniques. However, application of random sampling methods in practice can be quite difficult due to the need for the complete list of relevant population members and a large sample size. Application of simple random sampling method involves the following stages: 1. 2. A list of all members of population is prepared. Each element is marked with a specific number (suppose from 1 to N. Nitems are chosen among a population size of This can be done either with the use of random number tables or random number generator software. The latter option is more preferable as the selection of random samples can be aided by software such as Research Randomizer and Stat Trek. In this way researcher bias can be minimized. It is given, there are three mutually exclusive and exhaustive events E. E, and E3. The odds are 8:3 against E, and 2.5 in favour of Ex. Find the odds against E3. There are two popular approaches that are aimed to minimize the relevance of blas in the process of random sampling selection method of lottery and the use random numbers, The method of lottery is the most primitive and mechanical example of random sampling. In this method you will have to number each member of population in a consequent manner. writing numbers in separate pieces of paper. These pieces of papers are to be folded and mixed into a box. Lastly, samples are to be taken randomly from the box by choosing folded pieces of papers in a random manner. The use of random numbers, an alternative method also involves numbering of population members from 1 to N. Then, the sample size of N has to be determined by selecting numbers randomly. The use of random number table similar to one below can help greatly with the application of this sampling technique