For a variety of reasons, self-reported disease outcomes are frequently used without verification in epidemiologic research. In a study by Parikh-Patel et al. (A-12), researchers looked at the relationship between self-reported cancer cases and actual cases. They used the self-reported cancer data from a California Teachers Study and validated the cancer cases by using the California Cancer Registry data. The following table reports their findings for breast cancer: Cancer Reported (A) Yes No Total Cancer in Registry (B) 2991 112 3103 Cancer Not in Registry 2244 115849 118093 Total 5235 115961 121196 10. 11. Source: Arti Parikh-Patel, Mark Allen, William E. Wright, and the California Teachers Study Steering Committee, “Validation of Self-reported Cancers in the California Teachers Study,” American Journal of Epidemiology, 157 (2003), 539–545. (a) Let A be the event of reporting breast cancer in the California Teachers Study. Find the probability of A in this study. (b) Let B be the event of having breast cancer confirmed in the California Cancer Registry. Find the probability of B in this study. (c) Find PðA \ BÞ
For a variety of reasons, self-reported disease outcomes are frequently used without verification in epidemiologic research. In a study by Parikh-Patel et al. (A-12), researchers looked at the relationship between self-reported cancer cases and actual cases. They used the self-reported cancer data from a California Teachers Study and validated the cancer cases by using the California Cancer Registry data. The following table reports their findings for breast cancer:
Cancer Reported (A) Yes
No
Total
Cancer in Registry (B) 2991
112 3103
Cancer Not in Registry
2244 115849
118093
Total
5235 115961
121196
10.
11.
Source: Arti Parikh-Patel, Mark Allen, William E. Wright, and the California Teachers Study Steering Committee, “Validation of Self-reported Cancers in the California Teachers Study,” American Journal of Epidemiology, 157 (2003), 539–545.
(a) Let A be the
(b) Let B be the event of having breast cancer confirmed in the California Cancer Registry. Find the probability of B in this study.
(c) Find PðA \ BÞ
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