Based on prior knowledge, race can be a significant factor in determining whether a person earns more than 50000 dollars per year. The distribution of income across different races can vary due to various socio-economic factors and discrimination. 

To analyze the relationship between race and the task of earning more than 50000 dollars per year, we need access to a dataset containing information about race and income. Without the actual data, we can't provide a specific analysis. However, we can outline a general approach to understanding the relationship.

1. Obtain a dataset with information about race and income.
2. Perform exploratory data analysis to understand the distribution of income across different races. Calculate the percentage of people earning more than 50000 dollars per year for each race category.
3. Visualize the relationship between race and income using appropriate plots (e.g., bar plots, box plots, or violin plots). This will provide a visual representation of any disparities.
4. Analyze the statistical significance of the relationship between race and income using appropriate statistical tests such as chi-square tests or analysis of variance (ANOVA).
5. Evaluate any potential confounding factors that might influence the relationship between race and income, such as education level or occupation.
6. Consider any ethical implications of using race as a predictor of income and interpret the findings in a responsible manner.

Based on the analysis, we can create a dictionary that lists the possible values of the race feature for each target class (yes or no) in the task:

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

Please note that without access to actual data, this analysis is purely hypothetical. The specific values of race and their relationship with the target variable can only be determined through a thorough analysis of a suitable dataset.