Problem 61 - Basic Statistics for Business and Economics with Student

Question

Althoff and Roll, an investment firm in Augusta, Georgia, advertises extensively in the Augusta Morning Gazette, the newspaper serving the region. The Gazette marketing staff estimates that 60 percent of Althoff and Roll's potential market read the newspaper. It is further estimated that 85 percent of those who read the Gazette remember the Althoff and Roll advertisement a. What percent of the investment firm's potential market sees and remembers the advertisement? b. What percent of the investment firm's potential market sees, but does not remember the advertisement?

Step-by-Step Solution

Answer

51% of the potential market sees and remembers the ad; 9% sees but does not remember the ad.

Step 1: Understanding the Problem

We need to determine two specific percentages related to the readers of the Augusta Morning Gazette: those who both see and remember the advertisement, and those who see but do not remember the advertisement. We know that 60% of the potential market read the newspaper and 85% of those remember the ad.

Step 2: Calculate Percentage Who See and Remember

To find the percentage of the potential market that both sees and remembers the advertisement, multiply the percentage of the market that reads the newspaper by the percentage of those readers who remember the ad. This can be calculated as \( 0.60 \times 0.85 = 0.51 \). Thus, 51% of the potential market sees and remembers the advertisement.

Step 3: Calculate Percentage Who See but Do Not Remember

First, determine how many people who read the newspaper do not remember the advertisement. Since 85% of the readers remember the ad, this implies 15% do not. Calculate this by multiplying the percentage of the market that reads the newspaper by the percentage of those readers who do not remember the ad: \( 0.60 \times 0.15 = 0.09 \). Therefore, 9% of the potential market sees but does not remember the advertisement.

Key Concepts

Market Analysis

Market analysis involves assessing the viability and impact of a marketing strategy. In the context of the exercise, it focuses on understanding how many potential customers engage with an advertisement. The investment firm, Althoff and Roll, utilized market analysis to determine the efficiency of their ad campaigns appearing in the Augusta Morning Gazette. The results provided insights into who was part of their target demographic, specifically those who read the newspaper. This group represents 60% of their potential market.

Understanding this demographic is essential because it aids the firm in tailoring their marketing efforts to maximize reach. Knowing that 60% of potential customers engage with the publication helps allocate advertising budgets effectively and ensures the marketing message reaches the intended audience. By analyzing these statistics further, the firm can make informed decisions about future advertising strategies.

Advertising Effectiveness

Advertising effectiveness measures how well a marketing campaign performs in attracting and influencing potential customers. The scenario provided highlights the importance of not only reaching an audience but ensuring that the marketing message sticks. In this case, out of the potential market reached by the newspaper, 85% remembered the advertisement, which is a crucial indicator of advertising effectiveness.

Reaching an audience effectively involves more than just placing ads where they are likely to be seen. It's about crafting a message that resonates and remains with the reader. For Althoff and Roll, achieving a 51% retention rate (calculated as 60% of readers multiplied by the 85% who remember the ad) indicates a positive response. This effectiveness can lead to increased customer engagement and potential conversions, crucial factors for any successful marketing campaign. Remember, repeating ads where they are likely to be recalled can significantly boost a brand's recognition and customer loyalty.

Quantitative Problem Solving

Quantitative problem solving involves the application of mathematical calculations to solve real-world issues. In this exercise, it helped calculate specific percentage values to evaluate the effectiveness of the advertisement. Identifying that 60% of the target market reads the newspaper (Step 1) allows us to further explore their engagement with ads.

Using multiplication, we first determined the percentage of readers who both saw and remembered the ad. This gave a clear figure of 51% of the total market that saw and retained the ad message (Step 2). Further problem solving uncovered that 9% saw but did not recall the ad (Step 3). These calculations provide granular data for decision-making.

Quantitative methods simplify complex decisions, allowing businesses to evaluate the cost-effectiveness and impact of their marketing strategies. By transforming data into actionable insights, firms like Althoff and Roll can make informed marketing choices, improve resource allocation, and enhance overall strategy efficiency.