A biomedical researcher has a new theory that a certain disease has genetic root
ID: 3058274 • Letter: A
Question
A biomedical researcher has a new theory that a certain disease has genetic roots. If his theory is correct, in a town of 10000 people with an unusually high incidence of the disease, 9% should have a particular genetic marker. According to the old theory, only 3% should have the marker. The researcher plans to draw a sample of 50 people from that town at random, independently, with replacement. He will decide that his new theory is correct if the number of people in the sample found to have the genetic marker is more likely assuming his theory is true than it would be assuming the old theory is true. Otherwise, he will stick with the old theory. He draws the sample, and finds that one of the people in the sample has the genetic marker.
The chance that the sample would contain exactly one person with the genetic marker if the new theory is correct is (Q6)
The chance that the sample would contain exactly one person with the genetic marker if the old theory is correct is (Q7)
Problem 4 A biomedical researcher has a new theory that a certain disease has genetic roots. If his theory is correct, in a town of 10000 people with an unusually high incidence of the disease, 9% should have a particular genetic marker According to the old heory only 3% should have he marker The researcher plans to awa sample o peo e om at ow na andon, independenly, with replacement. He will decide that his new theory is correct if the number of people in the sample found to have the genetic marker is more likely assuming his theory is true than t would be assuming the old theory s true. Otherwise, he will sick with the old theory He draws the sample, and tinds that one of the people in the sample has the genetic marker The chance that the sample would contain exactly one person with the genetic marker if the new theory is correct is (Q6) The chance that the sample would contain exactly one person with the genetic marker if the old theory is correct is (Q7)]Explanation / Answer
A biomedical researcher has a new theory that a certain disease has genetic roots. If his theory is correct, in a town of 10000 people with an unusually high incidence of the disease, 9% should have a particular genetic marker. According to the old theory, only 3% should have the marker. The researcher plans to draw a sample of 50 people from that town at random, independently, with replacement. He will decide that his new theory is correct if the number of people in the sample found to have the genetic marker is more likely assuming his theory is true than it would be assuming the old theory is true. Otherwise, he will stick with the old theory. He draws the sample, and finds that one of the people in the sample has the genetic marker.
The chance that the sample would contain exactly one person with the genetic marker if the new theory is correct is (Q6)
The chance that the sample would contain exactly one person with the genetic marker if the old theory is correct is (Q7)
Problem 4 A biomedical researcher has a new theory that a certain disease has genetic roots. If his theory is correct, in a town of 10000 people with an unusually high incidence of the disease, 9% should have a particular genetic marker According to the old heory only 3% should have he marker The researcher plans to awa sample o peo e om at ow na andon, independenly, with replacement. He will decide that his new theory is correct if the number of people in the sample found to have the genetic marker is more likely assuming his theory is true than t would be assuming the old theory s true. Otherwise, he will sick with the old theory He draws the sample, and tinds that one of the people in the sample has the genetic marker The chance that the sample would contain exactly one person with the genetic marker if the new theory is correct is (Q6) The chance that the sample would contain exactly one person with the genetic marker if the old theory is correct is (Q7)]Related Questions
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