Problem 32 - Calculus for Biology and Medicine

Question

A soft-drink company introduces a new beverage. One month later, the company wants to know whether its marketing strategies have reached young adults of ages \(18-20 .\) You happen to work part time for the marketing company that is conducting the survey. At the same time, you are taking a calculus class that is attended by 250 students. It would be easy for you to hand out a survey in class. Would you suggest this to your supervisor in the marketing company? Discuss.

Step-by-Step Solution

Answer

Surveying the class is convenient but should be supplemented to improve demographic representation and reduce bias.

Step 1: Understand the Survey's Purpose

The purpose of the survey is to determine if the marketing strategies have reached young adults aged 18-20, which implies understanding the demographic targeted by the company.

Step 2: Assess the Target Audience in the Context

Identify if the calculus class you attend matches the target age demographic of 18-20. In this context, suppose that most students in your class fall into this age range.

Step 3: Evaluate Survey Reach and Bias

Consider the limitations of surveying only the class you attend. The sample might not fully represent the broader population of young adults due to shared socioeconomic or academic characteristics.

Step 4: Consider the Sample Size and Diversity

With 250 students, the class offers a decent sample size. However, it may not adequately reflect diverse backgrounds as it's confined to a specific setting (one class or school).

Step 5: Suggest an Alternative or Supplementary Method

While the class survey could be a starting point, suggest expanding the survey to other age-appropriate venues or using social media platforms to reach a more diverse audience.

Key Concepts

Target Audience

Before starting a survey, it is crucial to clearly identify the target audience. In this scenario, the target audience is young adults aged 18-20. Understanding this group helps ensure that the survey collects relevant data.
The target audience guides the design of the survey questions and the choice of survey venues. For instance, if young adults are the focus, venues like colleges or social media platforms where they are active might be effective.
Having a clear view of the target audience ensures that the survey can effectively capture their opinions and behaviors, which in turn aids in evaluating the success of marketing strategies.

Sample Bias

Sample bias occurs when the survey sample does not accurately represent the overall population. In the context of the given exercise, surveying only the students in a calculus class might introduce bias.
Here are some key points contributing to sample bias:

• The class may not be representative of all young adults aged 18-20, as it could lean towards those with specific academic interests.
• Socioeconomic factors influencing enrollment could skew the results, not reflecting the broader young adult population.

Overcoming sample bias requires diversifying the sample. Expanding the survey reach beyond a single class can improve the results' applicability to the target demographic.

Survey Methodology

Survey methodology refers to the framework and techniques used to conduct the survey. It's essential to choose an appropriate method to ensure the quality and reliability of the data collected.
In this case, a methodology starting with the calculus class might be straightforward but limited. Keep these points in mind:

• A larger and more varied sample is better for capturing diverse opinions.
• Consider using online surveys to reach a broader range of respondents.
• Setting clear and unbiased questions ensures more reliable results.

Utilizing multiple methods and venues, including online platforms, can enhance the survey's validity and reliability, providing a more comprehensive understanding of the marketing campaign's success.

Demographic Analysis

Demographic analysis is an important component of interpreting survey data. It involves breaking down the collected information according to population characteristics such as age, gender, socioeconomic status, and more.
A well-conducted demographic analysis allows marketers to understand which segments of the target audience have been reached and which have not. For example:

• If the survey shows strong positive responses from college students aged 18-20, the marketing strategies might be deemed effective among them.
• Yet, if other young adults outside this group are not reached, it could indicate areas for improvement.

By understanding how different demographic groups respond, the company can refine its marketing approaches to better penetrate all segments of the target audience.