  In algebraic geometry, Bertini theorems are an extremely important tool. A
generalization of the classical theorem to multiplier ideals show that
multiplier ideals restrict to a general hyperplane section. In characteristic
$p > 0$, the test ideal can be seen to be the characteristic $p > 0$ analog of
the multiplier ideal. However, in this paper it is shown that the same type of
Bertini type theorem does not hold for test ideals.
