Which of the following developments would represent a change in cultural influence rather than a change in colonial institutions?

Discontinuing neck-ties as part of school uniforms

The correct answer is Option 3: Discontinuing neck-ties as part of school uniforms.

Replacing the police system with a community-based model: The police system is one of the institutions built on the British model. Replacing it would represent a change in a colonial institution rather than in cultural influence. Therefore, this option is incorrect.

Replacing the parliamentary system with a presidential system: The parliamentary system is another institutional legacy of British colonialism. Changing it would amount to an institutional transformation, not merely a cultural change. Hence, this option is incorrect.

Discontinuing neck-ties as part of school uniforms: Neck-ties are an example of British cultural influence that continues in everyday life. Removing them would reflect a change in cultural practices without altering any colonial institution. Therefore, this is the correct answer.