In a recent project completed by a master\'s student in the clinical research de
ID: 3274082 • Letter: I
Question
In a recent project completed by a master's student in the clinical research department, 136,420 people from the national SEER registry were classified based on the stage of their colorectal cancer at diagnosis and their age group (18-49 vs. greaterthanorequalto 2 50). The following table shows the results: Suppose a person is randomly selected from this registry. Determine the following, providing justification for each answer (i.e., include something more than just the final fraction to demonstrate your understanding of the methods!). Leave your answers in fraction form. a) P(age group is 18-49 Intersection age group is greaterthanorequalto 2 50)? b) P(person selected had Stage I cancer | person was greaterthanorequalto 50)? c) Given that the person selected had Stage I cancer, what is the probability he/she was greaterthanorequalto 50? d) What is the probability that the person selected is 18-49 or had Stage II cancer? e) P(Person selected has advanced stage cancer [Stage III or IV])? f) P(Person selected has Stage II cancer)? g) What percentage of the study sample is 18-49?Explanation / Answer
Solution:-
a) P(Age 18 -49 and are group is > 50) is 0.
Number of persons with Age 18 -49 and are group is > 50 = 0
P(Age 18 -49 and are group is > 50) is 0
b) Person selecetd has stage cancer | person was > 50 is 0.2472.
Number of persons with age > 50 = 124,723
Person selected has stage cancer and person was > 50 = 30827
Person selected has stage cancer | person was > 50 = 30827/124723 = 0.2472
c) Person selected has stage I cancer then the probability that person was > 50 is 0.9433.
Number of persons having stage I cancer = 32679
Person selected has stage cancer and person was > 50 = 30827
Person selected has stage I cancer then the probability that person was > 50 = 30827/32679 = 0.9433
d) The probability that person selected 18-49 or had stage II cancer is 0.3503.
Number of person of age 18-49 = 11797
Number of person having stage II cancer = 38322
Number of person selected 18-49 or had stage II cancer = 38322 + 11797 - 2830 = 47289
The probability that person selected 18-49 or had stage II cancer = 47829 / 136520
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