Final answer:
Julie is experiencing role conflict, as she is torn between her duties as a parent and her professional responsibilities as a teacher. Option 4.
Step-by-step explanation:
Julie, the high school teacher faced with the dilemma of either staying home with her sick children or going to work to administer the final exam, is experiencing role conflict. Role conflict occurs when a person is confronted with competing demands from different roles they fulfill, such as being a parent and a professional at the same time. This situation can be particularly challenging when both roles require immediate attention and are seen as of high importance, leading to a conflicting decision which affects the individual's work-life balance.