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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). Cancer in Registry(B). Cancer Not in Registry. Total
Yes 2991 2244 5235
No 112 115849 115961
Total 3103 118093 121196
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.
(b) Let B be the event of having breast cancer confirmed in the California Cancer Registry. Find the probability of B in this study.
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). Cancer in Registry(B). Cancer Not in Registry. Total
Yes. 2991 2244 5235
No. 112 115849 115961
Total 3103 118093 121196
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.
Evaluate the limits of
X²-X-2/X(X-2) As X tends to be 2
test ∑n=1 ∞ [✓n^4 +9 - ✓n^4 -9] is convergent or not
show that the series ∑∞n=1 sin n theta/n does not converge uniformly on the interval ]0,2π[.
Find f_x(x,y), f xy(x,y), f x(1,3), and f y(-2,4) for the given function.
Find Fourier series expansion for the function f(x)={x+4 for 0<x<π,-x-π for -π<x<0}
determine the location and value of the absolute maximum and absolute minimum for the given function. f(x) = (-x+2)⁴ , where 0≤x≤3
determine the location and value of the absolute maximum and absolute minimum for the given function. f(x) = (-x+2)⁴ , where 0≤x≤3
The product of two numbers is 4 square root of 3. Find the numbers so that the
sum 𝑆 S of the square of one and the cube of the other is as small as
possible.
