What circumstances would you really want to minimize false positives-false negatives associated with a disease?

Relevance of Sensitivity and Specificity

In relation to the sensitivity and specificity content, here is an opportunity to participate in a discussion that brings to light the relevance of sensitivity and specificity in the real world.

Initial Post
Under what circumstances would you really want to minimize false positives and false negatives associated with a disease?
Let’s suppose that these were the findings of COVID screenings and diagnoses. State the relative impacts of false COVID negatives and false COVID positives on the community.