Based on prior knowledge, it is important to note that analyzing the relationship between race and income can be sensitive and at times controversial. While it is not ethical or appropriate to assume a causal relationship between race and income, it is possible to analyze the correlation between race and income based on available data.

To conduct the analysis, we can examine the distribution of race categories within each income group. This will help determine if there are any notable patterns or discrepancies between races and income levels.

Here is the dictionary based on the analysis:

```json
{
	"no": ["Black", "Asian-Pac-Islander", "Other", "Amer-Indian-Eskimo"],  
	"yes": ["White"]
}
```

Keep in mind that this analysis is based on the information given and should not be used to make definitive conclusions about the relationship between race and income. It is always necessary to consider other factors and conduct further research to gain a comprehensive understanding of the topic.