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Chapter 4: Problem 1

A high school鈥檚 student newspaper plans to survey local businesses about the importance of students as customers. From telephone book listings, the newspaper staff chooses 150 businesses at random. Of these, 73 return the questionnaire mailed by the staff. Identify the population and the sample.

Short Answer

Expert verified
Population: all local businesses. Sample: 150 randomly chosen businesses.

Step by step solution

01

Understand the Context

The task is to survey local businesses to understand the importance of students as customers. The newspaper staff chooses businesses and sends them a questionnaire, for which some respond.
02

Define the Population

The population refers to the entire group that is of interest in the study. In this exercise, the population is all local businesses that are relevant to the newspaper's survey on the importance of students as their customers.
03

Identify the Sample

The sample is a subset of the population that is actually observed or surveyed. In this case, the sample consists of the 150 businesses chosen at random from the telephone book listings by the newspaper staff. These are the businesses that were initially selected to receive the questionnaire.

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Key Concepts

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

Survey Methodology
When carrying out a survey, understanding and applying the correct methodology is crucial. Survey methodology is all about how a survey is designed and conducted. This involves selecting a target population, determining the sample, and deciding how data will be collected. Key aims in a survey include:
  • Ensuring the process captures the necessary data.
  • Providing results that contribute to understanding a particular topic.
Basically, the methodology blueprint determines how well the survey can provide reliable and valid results. In our example, the high school newspaper's survey aims to capture local businesses' perceptions of students as customers.
Random Sampling
Random sampling is a technique used in surveys to ensure that every member of a population has an equal chance of being selected. This helps reduce bias and improve the representativeness of the sample. In the high school survey, choosing 150 businesses at random from a telephone directory is a classic example of random sampling. Benefits of random sampling:
  • Reduces biases that might skew the results.
  • Ensures that the sample reflects the diversity of the overall population.
  • Makes the findings more generalizable to the population.
Random sampling is often considered the gold standard for survey sampling methods.
Data Collection
Data collection is the process of gathering information from selected sample groups. In our high school survey, data is collected using questionnaires that are mailed to local businesses. Collection methods can be varied, including:
  • Surveys or questionnaires.
  • Interviews (telephone or in-person).
  • Direct observations.
The goal is to gather comprehensive and accurate data for analysis. Effective data collection addresses the research questions, covering the need to understand the importance of students as customers for these businesses.
High School Statistics
Statistics learned in high school provide foundational tools for analyzing and interpreting data. Understanding basic statistics helps students in surveys by:
  • Enabling them to identify trends and patterns.
  • Helping them determine the reliability of their results.
  • Assisting in making data-driven decisions.
In the scenario of the high school newspaper, students apply their statistical knowledge to collect and analyze responses, interpreting the significance of students as customers for businesses.
Questionnaire Design
Designing a questionnaire is all about creating questions that effectively gather meaningful data. A well-designed questionnaire helps to obtain clear and actionable insights. For the high school survey, effective questionnaire design would involve:
  • Crafting clear, concise questions that avoid ambiguity.
  • Including both open and closed-ended questions for breadth and depth.
  • Ordering questions in a logical flow to maintain respondent engagement.
The design decisions should reflect the survey's purpose, making it easier for businesses to communicate the significance of student customers through their responses.

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Most popular questions from this chapter

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