The Bureau of Transportation Statistics Omnibus Household...

The Bureau of Transportation Statistics Omnibus Household Survey is conducted annually and serves as an information source for the U.S. Department of Transportation. In one part of the survey the person being interviewed was asked to respond to the following statement: "Drivers of motor vehicles should be allowed to talk on a hand-held cell phone while driving." Possible responses were strongly agree, somewhat agree, somewhat disagree, and strongly disagree. Forty-four respondents said that they strongly agree with this statement,130 said that they somewhat agree, 165 said they somewhat disagree, and 741 said they strongly disagree with this statement (Bureau of Transportation website, August 2010$)$ . a. Do the responses for this statement provide categorical or quantitative data? b. Would it make more sense to use averages or percentages as a summary of the responses for this statement? c. What percentage of respondents strongly agree with allowing drivers of motor vehicles to talk on a hand-held cell phone while driving? d. Do the results indicate general support for against allowing drivers of motor vehicles to talk on a hand-held cell phone while driving?

The Bureau of Transportation Statistics Omnibus Household Survey is conducted annually
and serves as an information source for the U.S. Department of Transportation. In one part
of the survey the person being interviewed was asked to respond to the following statement:
"Drivers of motor vehicles should be allowed to talk on a hand-held cell phone while driving." Possible responses were strongly agree, somewhat agree, somewhat disagree, and strongly disagree. Forty-four respondents said that they strongly agree with this statement,130 said that they somewhat agree, 165 said they somewhat disagree, and 741 said they strongly disagree with this statement (Bureau of Transportation website, August 2010$)$ .
a. Do the responses for this statement provide categorical or quantitative data?
b. Would it make more sense to use averages or percentages as a summary of the
responses for this statement?
c. What percentage of respondents strongly agree with allowing drivers of motor vehicles to talk on a hand-held cell phone while driving?
d. Do the results indicate general support for against allowing drivers of motor vehicles to talk on a hand-held cell phone while driving?

Key Concepts

Percentages as a Summary Measure

For categorical data, percentages are an effective summary statistic because they express the relative standing of each category in comparison to the whole dataset. Summarizing responses in terms of percentages facilitates meaningful comparisons between categories and provides a clear picture of the distribution of opinions.

Categorical Data

Categorical data consist of values that represent qualitative characteristics or groups. In surveys, responses such as 'strongly agree' or 'strongly disagree' are examples of categorical data because they classify individuals into distinct categories without implying numeric magnitude.

Ordinal Data

Ordinal data are a specific type of categorical data where the response categories have a natural order or ranking. In survey questions with ordered responses, such as levels of agreement, the categories (e.g., strongly agree, somewhat agree) have a logical sequence that reflects differing intensities of the opinion.

Survey Data Interpretation

Interpreting survey data involves analyzing the distribution of responses to draw conclusions about overall opinions or trends. This includes determining the prevalence of particular attitudes, such as the proportion of respondents who support or oppose an issue, based on the percentage breakdown of the survey results.

Transcript

00:01 Hey everyone.

00:02 Today we're solving problem 10 from chapter 1, section 2 of the text with dealing with data.

00:09 And there are four parts to this question.

00:11 So in the first part, what we're asked to identify is whether or not, based off of the description and the problem given, you would have categorical or quantitative data results.

00:25 And in the description, they basically list out four options for responding.

00:31 Strongly agree, somewhat agree, somewhat disagree, and strongly disagree.

00:36 With these four options, it is literally impossible to have some sort of numerical value that represents how much of a disagreement you have or, you know, yeah, or how long the disagreement you have or something.

00:53 So, that should tell you this is not quantitative but categorical.

00:58 And what confirms it is that you are basically given a list of options of how they feel.

01:03 And typically opinion -based questions like that end up being more categorical.

01:09 Tend to be categorical because factual questions like, what is your height? what is your age? like those are quantitative, whereas opinion questions like, what do you think of this thing? that's going to tend to be more categorical.

01:21 All right, so we have categorical data.

01:23 In part b, you are asked whether or not you would, i mean, whether you would use averages or percentages to represent such categorical data.

01:33 And the answer to this is going to be percentages.

01:37 And the reasoning why is because, again, think part to whole.

01:40 You want to find out which part of the relation would strongly agree with the statements given or somewhat agree or somewhat disagree or strongly disagree.

01:52 You want to find out again what part of the total would strongly agree, somewhat agree, somewhat disagree, and strongly disagree.

02:00 Thus, if you're doing that part to whole ratio, percentages make a lot more sense.

02:05 Moving on to part c, which asks us to find the percent who strongly agree.

02:15 The first thing you're going to have to do is to realize that you need to find the total count.

02:19 They don't give you the total explicitly, but they do give you the number of people who responded with either strongly agree, somewhat agree, somewhat disagree, and or strongly disagree.

02:32 Or strongly to see.

02:34 So they gave you the total.

02:35 For strongly agree, it was 44.

02:38 So again, i'm just going to add up these numbers.

02:42 I would just show this.

02:44 So it's pretty clear.

02:46 Whoever is grading this problem of yours that you note you're doing...