Answer: [tex]\dfrac{58}{71}[/tex]
Step-by-step explanation:
Given : 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 Independent Republican Total
yes 116 58 132 306
no 26 4 26 56
Total 142 62 158 362
Total participants= 362
The number of Democrats =142
So , P(Democrats)= [tex]\dfrac{142}{362}[/tex]
The number of Democrats and volunteered for the environment = 116
P(Democrats and volunteered) = [tex]\dfrac{116}{362}[/tex]
Now , by using conditional probability formula , the conditional probability of Democrats who volunteered for the environment :-
P(volunteered | Democrats ) = [tex]\dfrac{\text{P(Democrats and volunteered)}}{ \text{P(Democrats)}}[/tex]
[tex]=\dfrac{\dfrac{116}{362}}{\dfrac{142}{362}}=\dfrac{116}{142}=\dfrac{58}{71}[/tex]
Hence , the conditional proportion of Democrats who volunteered for the environment [tex]=\dfrac{58}{71}[/tex]
Using the proportion concept, it is found that the conditional proportion of Democrats who volunteered for the environment is 0.8169.
In this problem:
Hence:
[tex]p = \frac{116}{142} = 0.8169[/tex]
The conditional proportion of Democrats who volunteered for the environment is 0.8169.
You can learn more about proportions at https://brainly.com/question/24372153
