A Gallup Poll utilizing a random sample of 1,503 adults ages...

A Gallup Poll utilizing a random sample of 1,503 adults ages 18 or older was conducted in April 2018 . The survey indicated a majority of Americans $(53 \%)$ say driverless cars will be common in the next 10 years (Gallup, https://news.gallup.com/poll/234152/americans-expect-driverless-cars-common-next -decade.aspx). The question asked was: Thinking about fully automated, "driverless cars," cars that use technology to drive and do not need a human driver, based on what you have heard or read, how soon do you think driverless cars will be commonly used in the [United States]? Figure 1.10 shows a summary of results of the survey in a histogram indicating the percentage of the total responses in different time intervals. a. Are the responses to the survey question quantitative or categorical? b. How many of the respondents said that they expect driverless cars to be common in the next 10 years? c. How many respondents answered in the range $16-20$ years?

A Gallup Poll utilizing a random sample of 1,503 adults ages 18 or older was conducted in April 2018 . The survey indicated a majority of Americans $(53 \%)$ say driverless cars will be common in the next 10 years (Gallup, https://news.gallup.com/poll/234152/americans-expect-driverless-cars-common-next
-decade.aspx). The question asked was:
Thinking about fully automated, "driverless cars," cars that use technology to drive and do not need a human driver, based on what you have heard or read, how soon do you think driverless cars will be commonly used in the [United States]?

Figure 1.10 shows a summary of results of the survey in a histogram indicating the percentage of the total responses in different time intervals.
a. Are the responses to the survey question quantitative or categorical?
b. How many of the respondents said that they expect driverless cars to be common in the next 10 years?
c. How many respondents answered in the range $16-20$ years?

Key Concepts

Random Sampling

Random sampling is a technique used in survey methodology to select participants from a larger population in such a way that every individual has an equal chance of being chosen. This method helps ensure that the sample is representative of the overall population, minimizing biases and allowing for generalizable conclusions based on the sample data.

Data Types (Quantitative vs. Categorical)

Data types classify the nature of survey responses. Quantitative data represent numerical values that can be measured on a scale, while categorical data consist of distinct groups or categories without inherent numerical meaning. Understanding whether variable responses are quantitative or categorical is critical for selecting appropriate statistical analyses and interpretation methods.

Frequency Distribution

A frequency distribution is a summary of how often each response appears in a data set. It organizes data into categories or intervals, providing a clear view of the distribution and patterns in responses. This concept is fundamental for analyzing survey results as it helps to quantify the number of responses within each given category or interval.

Histogram Interpretation

A histogram is a visual representation of the frequency distribution of a data set. It allows for quick identification of trends, patterns, and the spread of the data by displaying how many responses fall within specified intervals. Interpreting a histogram is key for comprehending the distribution of survey responses and making informed inferences from the data.

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