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 Table 1.
Table 1
\begin{tabular}{|c|c|c|c|}
\hline & \begin{tabular}{l} 
Actively Participate in \\ 
Class Work
\end{tabular} & \begin{tabular}{l} 
Not Actively Participate in \\ 
Class Work
\end{tabular} & 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: Is there a relationship between students' learning enthusiasm and their attitude towards class work? Explain your reasoning.
Table 2
\begin{tabular}{|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 \\
\hline$k_{0}$ & 0.455 & 0.708 & 1.323 & 2.072 & 2.706 \\
\hline$P\left(k^{2} \geqslant k_{0}\right)$ & 0.05 & 0.010 & 0.005 & 0.001 & \\
\hline$k_{0}$ & 3.841 & 6.635 & 7.879 & 10.8 & \\
\hline
\end{tabular}
19. (1) $\frac{11}{25} ; \frac{2}{5}$.
$$
\begin{array}{l}
\text { (2) Since } k^{2}=\frac{n(a d-b c)^{2}}{(a+b)(c+d)(a+c)(b+d)} \\
=\frac{50(17 \times 20-5 \times 8)^{2}}{25 \times 25 \times 22 \times 28}=11.688, \\
P\left(k^{2} \geqslant k_{0}\right)=0.001,
\end{array}
$$

Therefore, there is a $99.9\%$ confidence that there is a relationship.