Here are the corrected versions of the sentences along with explanations for the changes:

11. The scientific theory was **subject** to doubt until conclusive evidence and rigorous testing provided irrefutable support.
*Explanation: "Aroused to doubt" is not a common expression. It is more accurate to say that a theory is "subject to doubt."*

12. As a dedicated entrepreneur, she worked at all hours to ensure the success of her startup, often **burning** the midnight oil.
*Explanation: The correct idiomatic expression is "burning the midnight oil" instead of "flaring the midnight oil."*

13. To foster positive development, parents should encourage children to **channel** their energy into creative activities such as painting, music, or sports.
*Explanation: "Transmit" is not typically used in this context; "channel" is more appropriate for directing energy into activities.*

14. The unexpected promotion was a **response** to her prayers, alleviating financial stress and boosting her career prospects.
*Explanation: "A/an reaction" should simply be "a response." The correct article ("a") should be used without "an."*

15. Feeling the warmth of hospitality, the neighbors decided to **invite** the new family in for a cup of tea to welcome them to the neighborhood.
*Explanation: "Require" is incorrect; the intended word is "invite," which fits the context of welcoming someone.*

16. Carelessly, he dropped the keys **into** the bowl by the entrance, completely unaware of the impending search for them.
*Explanation: The correct preposition is "into" instead of "on," as it indicates placing the keys inside the bowl.*

17. With her leadership skills and organizational acumen, Sarah was chosen to **lead** the committee responsible for planning the community event.
*Explanation: "Administer" is not the standard term for overseeing a committee; "lead" fits better in this context.*

18. Unable to find the map, he made a/an **reckless** guess about the correct route, hoping it would lead them to their destination.
*Explanation: "Unthinking" is not commonly used; "reckless" better describes the nature of the guess made without proper thought.*

19. Frustrated by writer's block, the author **took a break**, hoping that inspiration would strike and allow the words to flow effortlessly.
*Explanation: The correct phrase is "took a break" instead of "made a break."*

20. The young couple decided to **break with** tradition and celebrate their wedding in a unique and unconventional way, reflecting their modern values.
*Explanation: The correct phrase is "break with tradition," which means to deviate from standard practices.*