Answer:
a. categorical
b. 1018
c. 28.98%
d. Most voters interviewed are against the new tax
Step-by-step explanation:
Hello!
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
= 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!