To study the relationship between a certain disease and ultrasound examination results, 1000 people who had undergone ultrasound examination were randomly surveyed, yielding the following contingency table:
| \backslashbox{Category}{Ultrasound Result} | Normal | Abnormal | Total |
| Has Disease | 20 | 180 | 200 |
| No Disease | 780 | 20 | 800 |
| Total | 800 | 200 | 1000 |
(1) Let $P$ denote the probability that a person with abnormal ultrasound results has the disease. Find the estimated value of $P$.
(2) Based on the significance level $\alpha = 0.001$ for independence testing, analyze whether the ultrasound examination result is related to having the disease.
Attachment: $\chi^2 = \frac{n(ad - bc)^2}{(a+b)(c+d)(a+c)(b+d)}$,
| $P(\chi^2 \geq k)$ | 0.005 | 0.010 | 0.001 |
| $k$ | 3.841 | 6.635 | 10.828 |