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In Problems 11-22, identify the type of sampling used. A school board at a local community college is considering raising the student services fees. The board wants to obtain the opinion of the student body before proceeding. Design a sampling method to obtain the individuals in the sample. Be sure to support your choice.

Short Answer

Expert verified
Use a stratified sampling method, dividing the student body into subgroups and taking proportional random samples from each to ensure broad representation.

Step by step solution

01

- Understanding the Objective

The task is to design a sampling method to gather the opinions of a student body regarding an increase in student services fees. It's important to identify a sampling method that would accurately represent the opinions of the entire student body.
02

- Consider Different Sampling Methods

There are several types of sampling methods to consider: simple random sampling, stratified sampling, cluster sampling, systematic sampling, and convenience sampling. Each has its own advantages and disadvantages.
03

- Choosing a Sampling Method

For this situation, a stratified sampling method would likely be the most appropriate. Stratified sampling involves dividing the student body into distinct subgroups (strata) such as year of study, major, or demographic characteristics. Then, random samples are taken from each subgroup in proportion to its size in the population.
04

- Justifying the Choice

A stratified random sampling ensures that all segments of the student body are represented in the sample. This is particularly important in a community college where students may come from diverse backgrounds and have different needs and opinions.
05

- Implementation

To implement this method: 1) Identify the key strata within the student body (e.g., year, major, demographic information). 2) Determine the proportionate size of each stratum in the overall student body. 3) Randomly select individuals from each stratum based on these proportions to form the final sample.
06

- Conducting the Survey

Once the sample is formed, distribute the survey to these selected individuals to gather their opinions. Ensure that the survey questions are clear and unbiased to obtain reliable data.

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Key Concepts

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

stratified sampling
Stratified sampling is a method used in statistical surveys where the population is divided into separate groups, known as strata. Each stratum represents a significant subgroup within the population.
This method ensures that all subgroups are properly represented.

For example, in a school setting, you could divide the students into strata based on their year of study, major, or demographic characteristics. By doing so, each stratum will have a proportionate representation in the final sample, reflecting the diversity within the student population.

Stratified sampling is especially useful when researchers want to ensure that specific subgroups are represented and can yield more precise and reliable results compared to simple random sampling.
survey design
Good survey design is crucial for collecting accurate and meaningful data. It involves creating questions that are clear, unbiased, and relevant to the research objective. Here are some tips:
  • Start with a clear objective: Understand what you want to achieve with your survey.
  • Use simple language: Ensure the questions are easy to understand to avoid confusion.
  • Avoid leading questions: Don't lead respondents to a particular answer.
  • Include a mix of question types: Use multiple-choice, Likert scales, and open-ended questions to gather various data types.
  • Pre-test the survey: Run a pilot survey to identify any issues before the full launch.

Implementing good survey design practices will help collect data that accurately reflects the opinions and behaviors of the population under study.
sampling techniques
There are several sampling techniques available to researchers, each with its advantages and disadvantages. Here are some common ones:

  • Simple Random Sampling: Every member of the population has an equal chance of being selected. This method is easy to implement but may not always represent subgroups properly.
  • Stratified Sampling: As discussed, this involves dividing the population into strata and sampling from each group proportionately. This method ensures better representation of all subgroups.
  • Cluster Sampling: The population is divided into clusters, and entire clusters are randomly selected. This method is useful when a population is large and spread out.
  • Systematic Sampling: Every nth member of the population is selected after a random starting point. This technique is simple but assumes that the population is evenly distributed.
  • Convenience Sampling: Samples are taken from a group that is conveniently accessible. While easy to execute, it may introduce bias and not represent the broader population accurately.

Selecting the appropriate sampling technique depends on the research goals, the population size, and the level of precision needed.
data collection methods
There are various data collection methods, each suited for different types of research. Here are some common methods:

  • Surveys: Used to collect large amounts of data from a sample population. They can be conducted online, by phone, or in person.
  • Interviews: One-on-one conversations that provide deep insights but are time-consuming.
  • Observations: Researchers observe subjects in a natural setting. This method is useful for behavioral studies but can be subjective.
  • Experiments: Controlled environments where variables are manipulated to observe effects. This method provides high levels of control but may lack real-world applicability.
  • Document Analysis: Involves reviewing existing records or documents to gather data. It's less time-consuming but may not provide current or comprehensive data.

Choosing the right data collection method depends on the research question, the type of data needed, and resource availability.

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