Based on prior knowledge, it is difficult to predict how the feature "foreign_worker" is related to the task of determining whether a person receives credit or not. However, we can still examine the relationship by analyzing the distribution of the feature within each target class.

To conduct this analysis, we can group the data based on the target variable (credit) and calculate the possible values of the "foreign_worker" feature for each target class.

Here is the dictionary summarizing the relationship between the "foreign_worker" feature and the target variable:

```json
{
    "yes": ["yes", "no"], 
    "no": ["yes", "no"]
}
```

Please note that this dictionary includes all possible values of the "foreign_worker" feature for both target classes, as the relationship between the feature and the target variable is not clear.