Final answer:
The fraction of children who experience respiratory compromise post adenotonsillectomy is not provided in the given information. Specific data would be needed to answer this question.
Step-by-step explanation:
The fraction of children who experience respiratory compromise post adenotonsillectomy is not specified in the given information. However, the provided information mentions bacterial pneumonia and H. influenzae, which are respiratory conditions. To find the fraction of children who experience respiratory compromise post adenotonsillectomy, specific data on this topic would be needed.