Based on prior knowledge, the feature "race" may have a relationship with the target variable "Does this person earn more than 50000 dollars per year?". However, it is important to note that race should not be used as the sole determinant of a person's income. There are various factors that can influence income, such as education, experience, occupation, etc.

To analyze the relationship between race and income, we can examine the distribution of income levels across different races. We can calculate the percentage of individuals in each race category who earn more than $50000 per year and compare it to the overall percentage of individuals who earn more than $50000 per year.

Based on the analysis, the dictionary can be generated as follows:

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

	"yes": ["White"]
}
```

Please note that this analysis is a generalization and may not reflect the entire population. It is essential to consider multiple factors and conduct a more comprehensive analysis before drawing any definitive conclusions.