Based on prior knowledge, the highest level of education achieved by an individual can have a strong impact on their income. Generally, individuals with higher levels of education tend to earn more money compared to those with lower levels of education. 

To analyze the relationship between education and the income level of earning more than 50000 dollars per year, we can examine the education levels associated with each income group.

Here is the dictionary output:

```json
{
	"no": ["11th", "HS-grad", "10th", "7th-8th", "9th", "12th", "1st-4th", "Preschool"], 
	"yes": ["Assoc-acdm", "Some-college", "Prof-school", "Bachelors", "Masters", "Doctorate", "5th-6th", "Assoc-voc"]
}
```

In this analysis, individuals with lower education levels such as 11th, HS-grad, 10th, 7th-8th, 9th, 12th, 1st-4th, and Preschool are more likely to earn less than 50000 dollars per year. On the other hand, individuals with higher education levels such as Assoc-acdm, Some-college, Prof-school, Bachelors, Masters, Doctorate, 5th-6th, and Assoc-voc are more likely to earn more than 50000 dollars per year.

Please note that this analysis is based on general trends and further statistical analysis may be required to validate the relationship between education and income level.