这道题怎么做---**Overall Problem Description:** To study the relationship between a certain disease and ultrasound examination results, 1000 people who had undergone ultrasound examinations were randomly surveyed, and the following contingency table was obtained: **Table Content:** | | 正常 (Normal) | 不正常 (Abnormal) | 合计 (Total) | |---|---|---|---| | 患该疾病 (Has the disease) | 20 | 180 | 200 | | 未患该疾病 (Does not have the disease) | 780 | 20 | 800 | | 合计 (Total) | 800 | 200 | 1000 | **Question (1):** 记超声波检查结果不正常者患有该疾病的概率为 p,求 p 的估计值; (Let p be the probability that a person with an abnormal ultrasound examination result has the disease, find the estimated value of p;) **Question (2):** 根据小概率值 α = 0.001 的独立性检验,分析超声波检查结果是否与患该疾病有关。 (Based on the independence test with a significance level α = 0.001, analyze whether the ultrasound examination result is related to having the disease.) **Supplementary Information (附):** **Formula:** χ² = n(ad-bc)² / ((a+b)(c+d)(a+c)(b+d)) **Table (Chi-squared critical values):** | P(χ² ≥ k) | 0.050 | 0.010 | 0.001 | |---|---|---|---| | k | 3.841 | 6.635 | 10.828 |

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