Final answer:
In 'The Crucible', John Proctor refuses to allow his signed confession to be posted on the church door due to his desire to protect his integrity and reputation.
Step-by-step explanation:
In the play 'The Crucible' by Arthur Miller, John Proctor refuses to allow his signed confession to be posted on the church door because he values his integrity and wants to protect his name. By refusing to make his confession public, Proctor maintains his dignity and refuses to let others define him by his sins. He believes that the confession should be kept private between him and the court, rather than being used as a spectacle.