According to Evangelical Presbyterians, do ghosts exist? They were startled and frightened, thinking they saw a ghost.
  
  Luke 24:37 (NIV)


This incident shows that the disciples were afraid of an apparition.They thought that they saw a ghost.

A ghost is 'the spirit of a dead person, especially one that is believed to appear to the living in bodily form or to haunt specific locations (American Heritage® Dictionary of the English Language, Fifth Edition).

What does Evangelical Presbyterians believe about ghosts?
Once upon a time the word 'ghost' was synonymous with 'spirit'. Every person had a 'ghost', and their 'ghost' went to be with God when they died. This is why the Holy Spirit is sometimes called the Holy Ghost, and where we get expressions like "give up the ghost'. In that sense virtually all Christians believe in the existence of ghosts, meaning that all people have a spirit.

Today the word 'ghost' specifically means a disembodied spirit that haunts people or places.  In that sense, there are no Christian denominations that require members to believe in ghosts. Since there are bible passages that refer to people returning from the dead, most biblical literalists believe in at least the theoretical possibility of disembodied spirits appearing on earth, but that is a long way from believe that all or most reported hauntings are real.

Practically this means that in any Christian denomination there will be some people who believe in ghosts, and some who don't.