17. (12 points) Two machine tools, A and B, produce the same type of product. Products are classified by quality into first-grade and second-grade products. To compare the quality of products from the two machine tools, 200 products were produced by each machine tool. The quality statistics are shown in the table below:
| First-grade | Second-grade | Total |
| Machine A | 150 | 50 | 200 |
| Machine B | 120 | 80 | 200 |
| Total | 270 | 130 | 400 |
(1) What are the proportions of first-grade products produced by machine A and machine B respectively?
(2) Can we conclude with 99\% confidence that there is a difference in product quality between machine A and machine B? Attachment: $k^2 = \frac{n(ac - bd)^2}{(a+b)(c+d)(a+c)(b+d)}$,
| $P(K^2 \geq k)$ | 0.050 | 0.010 | 0.001 |
| $k$ | 3.841 | 6.635 | 10.828 |