Question

A small town voted to decide if a road should be expanded from two lanes to four lanes. The two-way table below shows the results of the vote.

Favor Oppose Neutral Total
Age
18-25 33 12 46 91
Age
26-40 45 15 36 96
Age
40+ 10 29 24 63
Total 88 56 106 250

Which correlation does the two-way table suggest?
A.
Voters age 40 and over are least likely to favor road expansion.

B.
The majority of the voters are most likely to favor road expansion.

C.
Voters between the ages of 26 and 40 are most likely to oppose road expansion.

D.
Voters between the ages of 18 and 25 are least likely to favor road expansion.

Answer 1

To analyze the two-way table and determine which option correctly reflects the correlations suggested by the voting results, let's break down the information:

1. **Favor**:
- Age 18-25: 33
- Age 26-40: 45
- Age 40+: 10
- Total Favor: 88

2. **Oppose**:
- Age 18-25: 12
- Age 26-40: 15
- Age 40+: 29
- Total Oppose: 56

3. **Neutral**:
- Age 18-25: 46
- Age 26-40: 36
- Age 40+: 24
- Total Neutral: 106

Now, let's review each option:

A. **Voters age 40 and over are least likely to favor road expansion.**
- This statement is true. Among the voters aged 40 and over, only 10 favor the expansion, which is the lowest among all age groups.

B. **The majority of the voters are most likely to favor road expansion.**
- This statement is misleading. Although there are more "Favor" votes (88) than "Oppose" votes (56), the majority of voters (250 total) also includes those who are neutral (106), meaning they could be seen as indifferent to the road expansion. Therefore, it’s not accurate to conclude that voters "most likely" favor the expansion.

C. **Voters between the ages of 26 and 40 are most likely to oppose road expansion.**
- This statement is not correct. Voters aged 26-40 have 15 who oppose, which is fewer than voters aged 40 and over (29 oppose) and not the highest opposition.

D. **Voters between the ages of 18 and 25 are least likely to favor road expansion.**
- This statement is false. Voters aged 18-25 favor expansion (33) more than those aged 40 and over (10).

Given the analysis of the options, the correct answer is:

**A. Voters age 40 and over are least likely to favor road expansion.**