19 (12 points) A head teacher conducted a survey on the learning enthusiasm and attitude towards class work of 50 students in the class. The statistical data is shown in the table below:
\begin{tabular}{|l|c|c|c|}
\hline & Actively Participate in Class Work & Not Actively Participate in Class Work & Total \\
\hline High Learning Enthusiasm & 17 & 8 & 25 \\
\hline Average Learning Enthusiasm & 5 & 20 & 25 \\
\hline Total & 22 & 28 & 50 \\
\hline
\end{tabular}
(1) If a student is randomly selected from the class, what is the probability of selecting a student who actively participates in class work? What is the probability of selecting a student who does not actively participate in class work and has average learning enthusiasm?
(2) Try to use the method of independence testing to analyze whether there is a relationship between students' learning enthusiasm and their attitude towards class work, and explain the reason.
Reference table:
\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}
\hline$P\left(k^{2} \geqslant k_{0}\right)$ & 0.50 & 0.40 & 0.25 & 0.15 & 0.10 & 0.05 & 0.010 & 0.005 & 0.001 \\
\hline$k_{0}$ & 0.455 & 0.708 & 1.323 & 2.072 & 2.706 & 3.841 & 6.635 & 7.879 & 10.8 \\
\hline
\end{tabular}
(19) (1) $\frac{11}{25} ; \frac{2}{5}$.
(2) Since
$$
\begin{aligned}
k^{2} & =\frac{n(a d-b c)^{2}}{(a+b)(c+d)(a+c)(b+d)} \\
& =\frac{50 \times(17 \times 20-5 \times 8)^{2}}{25 \times 25 \times 22 \times 28} \\
& =12.552,
\end{aligned}
$$
$P\left(K^{2} \geqslant k_{0}\right)=0.001$, so there is a $99.9\%$ confidence that there is a relationship.