In 1996, the General Social Survey included a question that asked participants if they had ever volunteered for the environment. This information is provided below divided by political party.

Democrat: yes 116, no 26
Independent: yes 58, no 4
Republican: yes 132, no 26
Total: yes 306, no 56

What is the conditional proportion of Independents who volunteered for the environment?
Group of answer choices:
(A) 62 / 306
(B) 58 / 362
(C) 58 / 62
(D) 4 / 62?

To find the conditional proportion of Independents who volunteered for the environment, we start by understanding that 'conditional proportion' here refers to the proportion of a subgroup (Independents) that did a specific action (volunteered for the environment). The question gives us the number of Independents who said 'yes' and 'no' to volunteering for the environment.

For Independents:

Yes: 58
No: 4

The conditional proportion is calculated by dividing the number of 'yes' responses by the total number of responses from Independents (both 'yes' and 'no').

Let's calculate it step-by-step:

Total Responses from Independents:

[tex]\text{Total Independents} = 58 \text{ (Yes)} + 4 \text{ (No)} = 62[/tex]

Calculate the Conditional Proportion:

[tex]\text{Conditional Proportion} = \frac{\text{Number of 'Yes' Responses}}{\text{Total Number of Responses from Independents}} = \frac{58}{62}[/tex]

Now simplifying:

[tex]\frac{58}{62} \approx 0.9355[/tex]

Therefore, approximately 93.55% of Independents volunteered for the environment. In the multiple-choice options given, this corresponds to option (C) [tex]\frac{58}{62}[/tex].

Therefore, the correct answer is (C).