In a Gallup telephone survey conducted on April 9-10, 2013, the person being interviewed was asked if they would vote for a law in their state that would increase the gas tax up to 20 cents a gallon, with the new gas tax money going to improve roads and bridges and build more mass transportation in their state. Possible responses were vote for, vote against, and no opinion. Two hundred ninety five respondents said they would vote for the law, 672 said they would vote against the law, and 51 said they had no opinion. a. Do the responses for this question provide categorical or quantitative data? b. What was the sample size for this Gallup poll? c. What percentage of respondents would vote for a law increasing the gas tax? d. Do the results indicate general support for or against increasing the gas tax to improve roads and bridges and build more mass transportation?

Question

Mathematics

Adyson Riley

14 October, 01:43

In a Gallup telephone survey conducted on April 9-10, 2013, the person being interviewed was asked if they would vote for a law in their state that would increase the gas tax up to 20 cents a gallon, with the new gas tax money going to improve roads and bridges and build more mass transportation in their state. Possible responses were vote for, vote against, and no opinion. Two hundred ninety five respondents said they would vote for the law, 672 said they would vote against the law, and 51 said they had no opinion. a. Do the responses for this question provide categorical or quantitative data? b. What was the sample size for this Gallup poll? c. What percentage of respondents would vote for a law increasing the gas tax? d. Do the results indicate general support for or against increasing the gas tax to improve roads and bridges and build more mass transportation?

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Answers (1)

Know the Answer?

Deacon Sweeney · Answer 1

a) The responses provide categorical data.

b) The sample size for this Gallup poll is 1021.

c) 28.89% of respondents would vote for a law increasing the gas tax.

d) The results indice general support against increasing the gas tax.

Step-by-step explanation:

Categorical variables are variables that do not involve numbers. For example, race, gender, opinions. For example, yes or no questions.

Quantitative variables involve numbers.

In this problem, we have that:

295 would vote for the law

675 vote against the law

51 had no opinion

a. Do the responses for this question provide categorical or quantitative data?

This is a yes or no question. Either you are in favor of the law, or you are against.

So the responses provide categorical data.

b. What was the sample size for this Gallup poll?

This is the number of voters.

295 + 675 + 51 = 1021.

The sample size for this Gallup poll is 1021.

c. What percentage of respondents would vote for a law increasing the gas tax?

This is 295 of 2021.

295/1021 = 0.2889

28.89% of respondents would vote for a law increasing the gas tax.

d. Do the results indicate general support for or against increasing the gas tax to improve roads and bridges and build more mass transportation?

There are more people voting against increasing the gas tax.

So the results indice general support against increasing the gas tax.