What is the best example of a situation that would benefit from a written argument?

Proposing that your neighborhood increases the land set aside for parks.

Explaining why your neighbors should not play loud music at night.

Convincing your parents to let you go to a concert of your favorite band.

Supporting your best friend who is collecting money for a walkathon.

Option 1 would be correct. A written argument would be the most mature and convincing way to be able to achieve set aside for parks.

Your neighbors playing loud music should be more of a verbal complaint, not a written.

Convincing your parents to let you go to a concert is not a necessity, and doesn't need to be a written argument.

Lastly, supporting your best friend who is collecting money for a walkathon is a situation you would physically be in, not write about.