question archive Mammography and clinical breast examination are the two major techniques used to screen for breast cancer
Mammography and clinical breast examination are the two major techniques used to screen for breast cancer
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Mammography and clinical breast examination are the two major techniques used to screen for breast cancer. However, as true for any screening test, they are not completely accurate. If it is determined, based on mammographic findings, that there is a possibility of breast cancer, this is usually confirmed or disconfirmed by a subsequent biopsy. A false positive test is a mammogram positive test that is disconfirmed by biopsy. The data in Table 1 were reported in a paper concerning breast cancer screening (Elmore, et al, New England Journal of Medicine 1998; 338(16): 1089-1096). Table 1 False positive breast cancer screening tests over a 10-year period # Screening tests 9762 # False positive tests 631 1. Suppose 10 women are given mammograms. What is the probability that at least 1 woman will have a false positive test?
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Probability= 0.4874
Step-by-step explanation
Population size Me 9762 False positive K= 631 Population proportion of false positive P = K P = 631 976 2 P = 0 . 0646 Since the sample size (uelo ) is less than lor of the -population and The population is sufficiently large We use The binomial distribution with n= 10 and P = 0.0646 -> The Formula is given by P ( x = K ) = " C K P ( 1 - p j h - < < P ( x 2 1 ) = 1 - P ( x = 0) o 107 c XO . 0646 XO . 93 56 = 1- 0.9356 to = 1 - 0. 5126 = 0 . 4874 PC at least 1) = 0.48 74
