In a clinical study of a test devised to detect colorectal cancer it was found that...

50.1K

Verified Solution

Question

Basic Math

In a clinical study of a test devised to detect colorectalcancer it was found that 13% of people without cancer received apositive result (false positive) and 8% of people with cancerreceived a negative result (false negative). According to theAmerican Cancer Society, the lifetime risk of developing colorectalcancer is about 1 in 22 (4:49%) for men and 1 in 24 (4:15%) forwomen. According to the World Bank the population of the U. S. is50:52% female. If we simplify the model assuming that there areonly two genders, male and female, (a) what is the probability thata person with undisclosed gender will develop colorectal cancer intheir lifetime? (b) what is the probability that a person withundisclosed gender has colorectal cancer, given that they took thetest twice and the results were positive the first time andnegative the second time?

Answer & Explanation Solved by verified expert

4.1 Ratings (624 Votes)

a PMC probability of men developing colorectal cancer 00449 PFC probability of women developing colorectal cancer 00415 PF proportion of a person being female 5052 05052 PM proportion of a person being female 4948 04942 Overall probability of developing cancer be PC Then PC PMPMC PFPFC See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member