A survey of 430 business travelers found 155 business...

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 categorical or quantitative?

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 categorical or quantitative?

Key Concepts

Percentage Calculation

Percentage calculation in statistics refers to converting a proportion or ratio into a percentage by multiplying it by 100. This method makes it easier to communicate and interpret how a part of the data relates to the whole, which is especially valuable in survey results.

Descriptive Statistics

Descriptive statistics involve summarizing and describing the main features of a data set in a clear and understandable manner. These statistics are used to provide simple summaries about the sample and the measures, such as percentages, averages, and proportions, without making inferences about a larger population.

Proportion Estimation

Proportion estimation is the process of using sample data to estimate the percentage of a population that exhibits a particular characteristic. It involves calculating the ratio of individuals with the feature of interest to the total sample size, providing an estimate that can be generalized to the broader population.

Categorical vs Quantitative Data

Data can be broadly classified as either categorical or quantitative. Categorical data represent characteristics or attributes that can be separated into distinct groups, while quantitative data represent numeric values that can be measured and ordered. Understanding this distinction is key to selecting appropriate statistical methods and analysis techniques.

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