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Refer to the following story: The manufacturer of a new vitamin (vitamin \(X\) ) decides to sponsor a study to determine the vitamin's effectiveness in curing the common cold. Five hundred college students having a cold were recruited from colleges in the San Diego area and were paid to participate as subjects in this study. The subjects were each given two tablets of vitamin \(X\) a day. Based on information provided by the subjects themselves, 457 of the 500 subjects were cured of their colds within 3 days. (The average number of days a cold lasts is 4.87 days.) As a result of this study, the manufacturer launched an advertising campaign based on the claim that "vitamin \(X\) is more than \(90 \%\) effective in curing the common cold." (a) Describe as specifically as you can the target population for the study. (b) Describe the sampling frame for the study. (c) Describe the sample used for the study.

Short Answer

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The target population for the study is all individuals who have a common cold, although this study seemed to be specifically aimed at college students. The sampling frame for the study is all college students in the San Diego area who have a cold. The sample used for the study is the 500 college students from the San Diego area with a cold, who were given Vitamin X and participated in the study.

Step by step solution

01

Understanding the Target Population

The target population here refers to all individuals that the research is aimed at understanding. In the context of this study, the target population are all individuals who have a common cold. It is inferred that the study is aimed towards college students (as this is how the sample was determined), but could be meant for anyone who has a cold.
02

Understanding the Sampling Frame

The sampling frame refers to a list of individuals from which the sample is drawn. The individuals are potential participants that could be selected for the study. For this study, the sampling frame can be inferred to be all college students in the San Diego area who currently have a cold.
03

Understanding the Sample

The sample is the group of individuals that are actually selected to participate in the study. For this study, the sample consisted of the 500 college students who were selected from the aforementioned sampling frame and participated in the study by consuming the Vitamin X.

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Key Concepts

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

Target Population
When conducting a study, understanding the concept of the target population is crucial. The target population represents the entire group of individuals about whom the research is intended to generate insights. In the case of the vitamin study described, the target population comprises all individuals suffering from the common cold. This is because the study is interested in understanding the effect of vitamin X on curing colds, which potentially affects everyone with a cold.

It's worth noting that even though the study was conducted on college students, the study's broader implications aim to address anyone who experiences the common cold. Therefore, while the sample was college students, the target population remains larger, encompassing all cold sufferers. This distinction highlights the broader applicability the researchers aim to achieve with their findings.
Sampling Frame
The sampling frame is a critical step in the research process, serving as the pool from which participants are actually selected. It acts as a bridge between the target population and the actual sample that is studied. In the vitamin X study, the sampling frame was all the college students in the San Diego area who had a cold at the time of the study.

The reason this particular group was chosen as the sampling frame is due to practical considerations such as ease of access and clearly defined boundaries. The entry point into the sampling frame requires that participants be college students in a specific region with the condition in question—having a cold. By clearly defining this group, researchers can efficiently select participants, ensuring that the selected sample is representative of their expectations.
College Students
In this study, college students play a key role as they form the sample—the actual individuals participating in the study. The sample consisted of 500 college students from San Diego who had a cold and were willing to test the efficacy of vitamin X.

Selecting college students offers some advantages. For one, they are often readily available, as campuses provide a concentrated group of potential participants. Furthermore, this demographic may be more willing to participate in studies, especially when incentivized with compensation.

While college students provide a convenient sample, researchers must be cautious in generalizing the results beyond this group. College students may have different immunity levels or lifestyle factors compared to the broader population, which might impact how they respond to treatments like vitamin X. Nevertheless, the results from this study provide a valuable starting point for understanding the vitamin's potential in treating colds.

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Most popular questions from this chapter

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