  Generalizing work on graphs, Chang and Roussel introduced $k$-power
domination in hypergraphs and conjectured the upper bound for the $k$-power
domination number for $r$-uniform hypergraphs on $n$ vertices was
$\frac{n}{r+k}$. This upper bound was shown to be true for simple graphs
($r=2$) and it was further conjectured that only a family of hypergraphs, known
as the squid hypergraphs, attained this upper bound. In this paper, the
conjecture is proven to hold for hypergraphs with $r=3$ or $4$; but is shown to
be false, by a counterexample, for $r\geq 7$. Furthermore, we show that the
squid hypergraphs are not the only hypergraphs that attain the original upper
bound. Finally, a new upper bound is proven for $r\geq 3$.
