Based on prior knowledge, it is difficult to predict the relationship between race and income. However, some studies have shown that there may be a correlation between race and income inequality, with racial minorities often experiencing lower incomes compared to White individuals. 

To analyze the relationship between race and earning more than $50,000 per year, we can examine the distribution of income across different racial categories.

Here is the analysis and resulting dictionary:

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

Based on the analysis, the possible values for the "no" category (individuals who earn less than or equal to $50,000 per year) include "Black", "Asian-Pac-Islander", "Other", and "Amer-Indian-Eskimo". The "yes" category (individuals who earn more than $50,000 per year) only includes "White".