This answer reveals a great deal about the applicant, not all of it good!
1Describing skills used
It's a very rambling answer which wastes a lot of space telling the story in detail and doesn't use the experiences described to highlight the candidates skills (e.g., should have left out all the information about the venue, the menus, the DJ, which are not connected to describing a skill).
2Describing how it was done
When the candidate says what he/she did (e.g. "I influenced the group") the answer does not explain how it was done. This is a big mistake. This is only giving half of the answer: the candidate needs to be much more specific, e.g.:
"by doing X and Y, I was able to influence the group."
3Negative aspects of the answer
Some things work negatively for the candidate in this answer: the fact that most of the group dropped out mid-way through the project (having warned at the beginning that time was an issue) suggests that the candidate's skills of teamwork, and of influencing the actions and opinions of others are not as good as he/she may believe. The statement "I told the group...I was able to influence them" put in this context suggests arrogance and an inability to listen to others, which caused problems later in the project. In this sense, the answer is quite naive and reveals a lack of self-awareness.
4Positive aspects of the answer
On the positive side, the candidate clearly explains that the ball was a success.
Decision: would you invite this candidate to interview?
No! The answer is not clear or to the point and there is not enough evidence of the candidate's skills. The candidate has mentioned that the result was successful although it isn't apparent whether this was due to the candidates input and the negative aspects of the answer raise some concerns.