Explain the most common types of sampling methods. If you needed to

survey a city about a new road project, which sampling method would you
choose and explain the sample method.

There are several common types of sampling methods that researchers use to collect data from a population. These methods include simple random sampling, stratified sampling, cluster sampling, and systematic sampling.

1. Simple Random Sampling: This is one of the most straightforward sampling methods. In simple random sampling, each individual in the population has an equal chance of being selected for the survey. To conduct a simple random sample for your city survey, you would assign a number to each household, business, or individual in the city, and then use a random number generator to select a specific number of participants. This will ensure that your sample is representative of the entire city.

2. Stratified Sampling: Stratified sampling involves dividing the population into subgroups or strata, based on specific characteristics. For example, you could divide the city population into strata based on location, such as downtown, residential areas, or industrial areas. Then, you would randomly select participants from each stratum in proportion to their representation in the population. This method helps ensure that each stratum is adequately represented in the survey, capturing the diversity within the city.

3. Cluster Sampling: In cluster sampling, the population is divided into clusters, and a random sample of clusters is selected. For instance, you could divide the city into clusters based on neighborhoods or districts, and then randomly select a certain number of clusters. Finally, you would survey all individuals within the selected clusters. Cluster sampling is often more practical when the population is large and dispersed geographically.

4. Systematic Sampling: Systematic sampling involves selecting individuals from a population at regular intervals. To implement this method, you would need to establish a sampling interval (e.g., every 10th house on the street) and randomly select the starting point. After selecting the starting point, you would then select every nth individual according to the interval. This method can be convenient and efficient, especially when the population is spread out and you have a sampling frame available (e.g., a list of addresses).

If you needed to survey a city about a new road project, a combination of stratified and cluster sampling methods might be appropriate. You could first stratify the population based on different characteristics, such as age, income level, and residence location. Then, you could randomly select clusters of neighborhoods or districts and survey participants within those clusters. This approach would help ensure that your sample represents the diverse characteristics and geographical areas of the city, providing valuable insights for the road project.