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State whether or not the sampling method described produces a random sample from the given population. The population is adults between the ages of 18 and 22. A sample of 100 students is collected from a local university, and each student at the university had an equal chance of being selected for the sample.

Short Answer

Expert verified
No, the described sampling method does not produce a random sample from the given population. This is because it only includes university students in the age range and fails to account for adults of the same age who are not enrolled in the university.

Step by step solution

01

Identify the Population

The population in question includes all adults between the ages of 18 and 22.
02

Evaluate the Sampling Technique

In the described sampling method, 100 students are selected from a university, each of whom has the same chance of being chosen. However, this method confines the sample to only university students, and not all adults between the ages of 18 and 22.
03

Determine if Sampling is Random

In random sampling, every member of the population must be given an equal chance to be selected. In our case, the sampling method does not ensure this because some adults aged 18 to 22 might not be attending the university. Hence, not every adult in this age range will have an opportunity to be part of the sample.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Population Identification
Population identification is a critical step in designing any research study that involves sampling. It involves defining exactly whom you are interested in studying and making sure that this group fully represents the broader community or group of individuals you want to learn about. In the context of sampling, the population is a complete set of individuals, objects, or data from which a sample might be drawn.

For example, in the provided exercise, the population consists of all adults aged between 18 and 22. This group should not only include university students but also young adults who might be working or engaged in other activities outside of a university setting. Accurately identifying this population is vital because it ensures that the findings of the study are relevant and applicable to the group that you are truly interested in exploring.

The importance of clear population identification cannot be overstated. A clear definition determines the scope of your conclusions, and it prevents biases that might arise if the population is misunderstood or too narrowly defined. Always aim for a precise and comprehensive identification process to avoid issues in later stages of research.
Sampling Technique
A sampling technique is a method used to select individuals from the population to be included in the sample. The technique chosen can affect the validity and reliability of the results. In general, the goal is to develop a sampling technique that is as unbiased as possible.

There are many different sampling methods, but in a well-defined study, the choice of method should closely align with the goals of your research and specifics of your identified population. Common techniques include simple random sampling, stratified sampling, and systematic sampling, each with its specific use cases and benefits.

In our exercise, the sampling method involved selecting 100 students from a university, where each student had an equal chance of being selected. While this technique may seem fair within the university's context, it's inadequate for the broader population of adults aged 18 to 22. Such a sampling method can lead to biases because it excludes non-university individuals who also fall within the age range but do not attend university. This approach underlines the need for a sampling technique that properly reflects the entirety of the identified population.
Equal Chance of Selection
Ensuring an equal chance of selection is a cornerstone of random sampling strategies. It dictates that every member of the population has the same likelihood of being chosen for the sample. This concept is central to the integrity of research findings, as it minimizes selection bias and ensures that the sample accurately represents the population at large.

For instance, in the example exercise, although each student at the university did have an equal chance of being selected, this opportunity was not extended to all individuals within the 18 to 22 age group in the general community. True random sampling would involve methods that reach beyond the university and allow every adult in this age range the possibility of selection.

Without equal chances for everyone in the targeted population, the credibility of the research findings can be compromised. Therefore, ensuring equal chance of selection involves strategically implementing methods like a lottery or using a computer program to randomly select from a full list of the population. This practice is fundamental for achieving a representative sample that accurately reflects the diversity within the target group.

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