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?

There was a poll made to know the voter opinion on a law that would increase the gas tax to 20 cents per gallon, this money is going to use for road and bridges improvement and build more mass transportation in the state.

Data:

295 support

672 against

51 no opinion

a. The study variable is "Opinion of the votes on the new gas tax" Categorized: "support; against; no opinion"

This is a categorical variable, that can take one number on a limited amount of possibles values, assigning each observation to a group of nominal categories based on a qualitative feature.

In this case, each voter is assigned to a category according to their opinion on the new tax.

b. To know the sample size you have to add the subtotals of each category:

n= 295 + 672 + 51 = 1018

c. To calculate the percentage of people supporting the new tax, you have to divide the subtotal by the total and multiply it by 100

[tex](\frac{295}{1018})*100[/tex] = 28.978% ≅ 28.98%

d. To answer this it's better to calculate the percentage of each category:

Support: 28.98%

Against: 66.01%

No opinion: 5.01%

Since the category "against" has the greater percentage, you can say that most voters interviewed are against the new gas tax

I hope it helps!