Based on prior knowledge, the relationship feature can potentially have an impact on the income level. For example, individuals who are in the category 'Husband' or 'Wife' may have a higher likelihood of earning more than $50,000 per year compared to those in categories like 'Own-child' or 'Unmarried'.

To further analyze the relationship feature, we need to examine the proportions of each relationship category for the two target classes: "yes" (those who earn more than $50,000 per year) and "no" (those who earn less than or equal to $50,000 per year).

Here is the analysis of the relationship feature:

- For the "yes" target class:
  - Category 'Own-child': This category might have a lower proportion of individuals earning more than $50,000 per year. 
  - Category 'Husband': This category might have a higher proportion of individuals earning more than $50,000 per year. 
  - Category 'Not-in-family': This category might have a lower proportion of individuals earning more than $50,000 per year. 
  - Category 'Unmarried': This category might have a lower proportion of individuals earning more than $50,000 per year. 
  - Category 'Wife': This category might have a higher proportion of individuals earning more than $50,000 per year. 
  
- For the "no" target class:
  - Category 'Own-child': This category might have a higher proportion of individuals earning less than or equal to $50,000 per year. 
  - Category 'Husband': This category might have a lower proportion of individuals earning less than or equal to $50,000 per year. 
  - Category 'Not-in-family': This category might have a higher proportion of individuals earning less than or equal to $50,000 per year. 
  - Category 'Unmarried': This category might have a higher proportion of individuals earning less than or equal to $50,000 per year. 
  - Category 'Wife': This category might have a lower proportion of individuals earning less than or equal to $50,000 per year. 

Based on this analysis, let's create the dictionary:

```json
{
  "no": ["Own-child", "Not-in-family", "Unmarried"],
  "yes": ["Husband", "Wife"]
}
```

Note that we exclude the category 'Other-relative' as it is not mentioned explicitly in the analysis.