Why is it so important that a statistical study use a representative sample? Briefly describe four common sampling methods. Why is it so important that a statistical study use a representative sample? A. Representative samples are more accurate than non-representative samples. B. If the sample fairly represents the population as a whole, then it is reasonable to make inferences from the sample to the population. C. A non-representative sample only provides acceptable results when obtained using convenience sampling. D. Representative samples are necessary because it is important that every sample of a given size has an equal chance of being selected. Briefly describe four common sampling methods. Choose the correct answer below. A. Grouped sampling; Systematic sampling; Box sampling; Stratified sampling B. Box sampling; Normal sampling; Systematic sampling; Stratified sampling; C. Simple random sampling; Systematic sampling; Convenience sampling; Stratified sampling D. Complex random sampling. Simple random sampling: Standard sampling: Convenience sampling
Solution
Step 1 ：The importance of using a representative sample in a statistical study is because it ensures that the sample accurately reflects the population it is supposed to represent. This allows for more accurate and reliable results, and it allows for valid inferences to be made about the population based on the sample.
Step 2 ：The four common sampling methods are simple random sampling, systematic sampling, convenience sampling, and stratified sampling. Simple random sampling is a method where every member of the population has an equal chance of being selected. Systematic sampling is a method where every nth member of the population is selected. Convenience sampling is a method where members of the population are selected because they are easy to reach. Stratified sampling is a method where the population is divided into subgroups, or strata, and random samples are taken from each stratum.
