well. first of all you need to understand the concepts of the video format. "24p" isnt a literal term. it doesnt mean it actually changes the way the video is recorded, it kinda only simulates something for a desired effect. there are still actually more than 24 frames per second being generated, but it records whole frames in a pattern to create an effect of 24 fps
if by "big screen" you mean an actual FILM transfer.. then well, if you dont shoot in 24p your frames are gonna be interlaced. unless you shoot in 30p in which case you could transfer only some of the frames... but that would be awkward.
if by "big screen" you mean a digital video projector like a DLP or LCD one.. then it would look just like video.
you have to understand that all the shooting modes "24p" "30p" and 60i record to the same format, its just what they record that is different.