Question

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.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 or against allowing drivers of motor vehicles to talk on a hand-held cell phone while driving?

Answer 1

Answer:

a) For this case we have quantitative data since we have frequencies per each category.

b) For this case is better use percentages since we have frequency counts per each

c) First we need to calculate the total for the frequencies:

$Total = 44+130+165+741= 1080$ respondents

For this case we can calculate the percentage like this:

$\% Strongly_{agree} = \frac{44}{1080} *100 =4.07\%$

d) For this case the percentage of people who agree with allowing drivers of motor vehicles to talk on a hand-held cell phone while driving is just 4.07% and by the other hand the rest of the people correspond to 95.93%.

$\frac{1036}{44}=23.55$

The people who are NOT strongly agree is about 24 times greater than the peopl who strongly agrees.

So we can say that we don't have a general support for the claim.

Explanation:

For this case we have the following data given:

Number of respondents that they strongly agree with the statement = 44

Number of respondents that they somewhat agree with the statement = 130

Number of respondents that they somewhat disagree agree with the statement = 165

Number of respondents that they strongly disagree agree with the statement = 741

Part a

Do the responses for this statement provide categorical or quantitative data?

For this case we have quantitative data since we have frequencies per each category.

Part b

Would it make more sense to use averages or percentages as a summary of the responses for this statement?

For this case is better use percentages since we have frequency counts per each category so then not makes sense calculate averages for this case.

Part c

What percentage of respondents strongly agree with allowing drivers of motor vehicles to talk on a hand-held cell phone while driving?

First we need to calculate the total for the frequencies:

$Total = 44+130+165+741= 1080$ respondents

For this case we can calculate the percentage like this:

$\% Strongly_{agree} = \frac{44}{1080} *100 =4.07\%$

Part d

For this case the percentage of people who agree with allowing drivers of motor vehicles to talk on a hand-held cell phone while driving is just 4.07% and by the other hand the rest of the people correspond to 95.93%.

$\frac{1036}{44}=23.55$

The people who are NOT strongly agree is about 24 times greater than the peopl who strongly agrees.

So we can say that we don't have a general support for the claim.