How can a process intercept stdout and stderr of another process on Linux?

tail -f /proc/(pid)/fd/1

import time

while True:
    print 'test'
    time.sleep(1)

python test.py

ps auxw | grep test.py

gdb -p (pid)

(gdb) call creat("/tmp/stdout", 0600)
$1 = 3
(gdb) call dup2(3, 1)
$2 = 1

-e write=set
               Perform a full hexadecimal and ASCII dump of all the
               data written to file descriptors listed in the spec-
               ified  set.  For example, to see all output activity
               on file descriptors 3 and 5 use -e write=3,5.   Note
               that  this is independent from the normal tracing of
               the write(2) system call which is controlled by  the
               option -e trace=write.