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A survey of 430 business travelers found 155 business travelers used a travel agent to make the travel arrangements (USA Today, November 20,2003 ). a. Develop a descriptive statistic that can be used to estimate the percentage of all business travelers who use a travel agent to make travel arrangements. b. The survey reported that the most frequent way business travelers make travel arrangements is by using an online travel site. If \(44 \%\) of business travelers surveyed made their arrangements this way, how many of the 430 business travelers used an online travel site? c. Are the data on how travel arrangements are made qualitative or quantitative?

Short Answer

Expert verified
a. 36.05% of business travelers use a travel agent. b. 189 travelers used an online travel site. c. The data are qualitative.

Step by step solution

01

Calculate Percentage of Business Travelers Using a Travel Agent

To calculate the percentage of business travelers who use a travel agent, we use the formula for percentage \( P = \frac{N}{T} \times 100 \) where \( N \) is the number of travelers using a travel agent and \( T \) is the total number of travelers surveyed. Here, \( N = 155 \) and \( T = 430 \). So, \( P = \frac{155}{430} \times 100 \approx 36.05\% \).
02

Calculate Number of Travelers Using an Online Travel Site

We know that \( 44\% \) of the surveyed business travelers made their arrangements using an online travel site. To find out how many travelers this percentage corresponds to, we calculate \( 44\% \) of 430. This is done by multiplying: \( 0.44 \times 430 = 189.2 \). Since the number of travelers must be whole, we round to the nearest whole number, yielding 189 travelers.
03

Determine the Nature of the Data

Data on how travel arrangements are made categorizes each person by the method they use (travel agent, online site, etc.). Since these are different categories and not numerical measurements, the data are qualitative.

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Key Concepts

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

Business Travelers Survey
In the world of travel, especially corporate travel, conducting surveys is a key method for gathering data and insights about how business travelers make their arrangements. A business travelers survey provides a snapshot of their preferences and behaviors, helping companies understand trends and improve services.
In the context of the survey from USA Today, which addressed 430 business travelers, the findings provide valuable information about arrangements using travel agents and online sites. Surveys like this typically involve asking a sample group of travelers various questions to determine their travel habits. Data collected in this manner is essential for both travel agencies and online travel platforms. Such information can be used to tailor services to better meet traveler needs and preferences, ultimately improving customer satisfaction and business outcomes.
Knowing how many travelers prefer travel agents versus online sites can influence marketing strategies and the development of new features on booking platforms. Overall, surveys are a crucial tool in descriptive statistics, allowing businesses to make informed decisions based on actual traveler behavior.
Percentage Calculation
Percentage calculations are a straightforward but vital part of analyzing survey data. They help in understanding the proportion of a sample that aligns with a specific behavior or characteristic. In the given survey of business travelers, calculating percentages allows us to quantify preferences.
To calculate this percentage, we have the formula: \( P = \frac{N}{T} \times 100 \) where \( N \) represents the number of cases that meet the criteria of interest, and \( T \) is the total number of cases or respondents.
For example, in the survey, 155 out of 430 travelers used a travel agent. Plugging into our formula, we calculate \( P = \frac{155}{430} \times 100 \approx 36.05\% \). This tells us that approximately 36.05% of the respondents used a travel agent, a useful statistic for organizations focusing on travel planning and support.
Similarly, for online travel sites, knowing that 44% used this method, we multiply 0.44 by the total surveyed, 430, resulting in 189 travelers who opted for online planning. Such precision in percentage calculation is crucial for businesses to allocate resources and tailor offers accurately.
Qualitative Data Analysis
Qualitative data analysis involves examining non-numeric data to extract meaningful patterns and insights. In the context of travel, qualitative data could include categories like how arrangements are made—whether through travel agents, online travel sites, or other methods.
Unlike quantitative data, which is numeric and can be expressed mathematically, qualitative data is more about categorization. It's important to recognize that the method used by travelers is qualitative because it focuses on classification instead of numbers.
For the survey in question, data on travel arrangement methods are qualitative as they indicate distinct categories. Each method such as 'travel agent' or 'online travel site' falls into a different category, showing the preference trend within the sample group.
This type of analysis can offer insights into consumer behavior and preferences that aren't easily represented by numbers alone. Understanding qualitative aspects helps businesses develop targeted marketing strategies and optimize service offerings to match what travelers commonly prefer.

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Most popular questions from this chapter

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A survey of 131 investment managers in Barron's Big Money poll revealed the following \((\text {Barron's,} \text { October } 28,2002)\) \(43 \%\) of managers classified themselves as bullish or very bullish on the stock market. The average expected return over the next 12 months for equities was \(11.2 \%\) \(21 \%\) selected health care as the sector most likely to lead the market in the next 12 months. When asked to estimate how long it would take for technology and telecom stocks to resume sustainable growth, the managers' average response was 2.5 years. a. Cite two descriptive statistics. b. Make an inference about the population of all investment managers concerning the average return expected on equities over the next 12 months. c. Make an inference about the length of time it will take for technology and telecom stocks to resume sustainable growth.

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