How does the Edmonson Case give a privilige to African Americans in jury selection?

I think that your question is asserting that the ruling in
Edmonson sets up a special privilege for African Americans.  I have
edited your question to show this.

I do not agree with this
statement.  The Edmonson ruling does not set up a special privilege
for anyone and it does not apply solely to African
Americans.

What the decision in this case said is that
attorneys in a civil case may not use their peremptory challenges solely on the basis of
race.  In other words, attorneys may not throw people off of juries simply because they
do not like the race of the potential juror.  This decision does not say that only
African Americans are protected from this practice.  Instead, it says that no one may be
excluded from a jury in a civil trial (there is the same rule in criminal trials that
existed before Edmonson) simply because of their
race.

This ruling also does not set up any quota with
regard to juries.  There is no need to make sure that you find some number of people of
various races.  Instead, it simply says that potential jurors cannot be excluded based
on race.

Therefore, this ruling is neutral with regard to
race and it is not right to say that it privileges African
Americans.