According to the given statements in the question it can be concluded that the Sharon's approach illustrates " the confirmation bias ".
The confirmation bias means that a person seeks for the information or evidences that take forward their personal beliefs or gives a confirmation to the thoughts or beliefs that are already in their mind.
Here,
Sharon looks for the news that supports her existing political belief.
Len is constantly anxious. To relieve his anxiety, he counts silently to himself. He may count his breaths per minute, or he may just count the seconds as they tick by. Just the act of counting seems to relieve his anxiety. Len's counting behaviors represent a compulsion