The Fermilab HyperCP experiment has accumulated the world's largest sample
of Xi (-) and <(<Xi>)over bar>(+) hyperon decays within two running periods
in 1997 and 1999. The primary goal of the experiment is to search for dire
ct CP <(<Xi>)over bar>(+) --> <(<Lambda>)over bar> pi (+) --> (p) over bar
pi (+) pi (+). manifest itself as a difference between the angular distribu
tion of the proton and the antiproton in the Lambda and <(<Lambda>)over bar
> helicity frame. The amount of data is enough to reach a statistical sensi
tivity of 1.4 x 10(-4) in the CP violating asymmetry A(Xi Lambda) = (alpha
(Xi) alpha (Lambda) - alpha (Xi) alpha (Lambda))/(alpha (Xi) alpha (Lambda)
+ alpha (<(<Xi>)over bar>) alpha (<(<Lambda>)over bar>)). We present an an
alysis method used to take into A,+ account the slight differences in the p
roduction of the Xi (-) and samples. A preliminary result on A(Xi Lambda) a
t the level of a few 10(-3) and based on a few percent of the 1997 data wil
l be presented.