For a survey a village is divided into 5 lanes then each lane is sampled randomly is an example is ?
**Core Concept:** Random sampling is a statistical method used to select a representative sample of individuals or items from a larger population in order to make inferences about the population as a whole. There are different types of random sampling methods, and in this case, the village is divided into lanes, making it an example of stratified random sampling.
**Why the Correct Answer is Right:** In stratified random sampling, a population is divided into subgroups (in this case, lanes), and then random sampling is performed within each subgroup to obtain a representative sample. This method ensures that the sample is proportional to the size of each subgroup, providing a more accurate representation of the entire population. In this scenario, each lane is sampled randomly, ensuring that the final sample is representative of the entire village.
**Why Each Wrong Option is Incorrect:**
A. This option is incorrect as it does not explain the division of the village into lanes and random sampling within each lane, which is the essence of the correct answer.
B. This option discusses simple random sampling, where every element has an equal probability of being chosen, rather than stratified random sampling.
C. This option is incorrect as it talks about systematic sampling, where every second, third, or nth element or individual is selected, rather than stratified random sampling.
D. This option is incorrect as it discusses cluster sampling, where groups (clusters) are randomly selected and then individual units are sampled from each cluster, not stratified random sampling.
**Clinical Pearl:** Understanding various sampling techniques is essential in research and epidemiological studies. Stratified random sampling is useful when the population has distinct subgroups that should be represented in the sample. In this case, the village is divided into lanes to ensure that each lane's sample represents the entire village.
**Correct Answer:** D. Stratified random sampling, as it correctly describes the method of dividing the village into lanes and sampling randomly within each lane to obtain a representative sample of the village.