Passage Analysis
Appendicitis (inflammation of the appendix) is potentially fatal;
A disease, appendicitis, can lead to death.
consequently, patients with symptoms strongly suggesting appendicitis almost always have their appendix removed.
As a result, patients who have symptoms that strongly suggest the presence of the disease almost always have their appendix removed. At this stage, I observe that the statement is talking about patients with symptoms that strongly suggest the presence of the disease. The statement is not talking about patients where we are confirmed that the patient has the disease. Still, these patients almost always have their appendix removed. That's interesting.
The appropriate surgery is low-risk but performed unnecessarily in about 20 percent of all cases.
The surgery for the removal of the appendix has a low risk but is performed unnecessarily in about 20% of the cases. This means that in 20% of the cases, the surgery is not really required.
Why is it not required? It could be that the patient does not have the disease or that the disease can be cured without the surgery. But so far, the passage hasn't talked about any cure as such; it just talks about the disease and the surgery. So at this stage, it seems like in 20% of the cases there was no disease, but the patient had symptoms that suggested the presence of the disease.
A newly developed internal scan for appendicitis is highly accurate, producing two misdiagnoses for every 98 correct diagnoses.
Okay, so now we have a new technology, a new scan that is highly accurate in determining whether a person has appendicitis. This scan produces only two misdiagnoses for every 98 correct diagnoses. This means that the error rate is just 2%. This is sharply lower than the 20% figure quoted above, so I can already see that the percentage of surgeries performed unnecessarily will go down substantially if this scan is used.
Clearly, using this test, doctors can largely avoid unnecessary removals of the appendix without, however, performing any fewer necessary ones than before, since __________.
The statement presents the conclusion of the argument using the above premises. It says that by using this test, this new scan can largely avoid unnecessary removals of the appendix. This makes sense because the error rate is down to 2%. But the conclusion also adds without performing any fewer necessary ones. This means that whenever the surgery is necessary, we don't want to avoid it.
It should not happen that a person who has the disease is diagnosed as not having the disease, so that person doesn't have the surgery. In that case, as the passage already says, the person can die. So the conclusion says that using the test will largely avoid unnecessary removals, but it will not lead to an issue where a person who requires surgery is misdiagnosed.
The sentence ends with the word since, so we are looking for an option that supports this conclusion. As I think about it, the first part of the conclusion directly follows from the statistic that the error rate is 2%, so it should largely avoid unnecessary removals. But for the second part, we may need some support because it's saying without performing any fewer necessary ones. So we don't want any reduction, not even a 1% reduction, in the performing of necessary surgeries.
Options Evaluation
(A) the patients who are correctly diagnosed with this test as not having appendicitis invariably have medical conditions that are much less serious than appendicitis
Incorrect. This option talks about the patients who have the new scan and who are diagnosed as not having the disease. These patients have other less serious medical conditions. This option is completely irrelevant because we are not concerned about whether the patients have other diseases or not.
(B) the misdiagnoses produced by this test are always instances of attributing appendicitis to someone who does not, in fact, have it
Correct. This option talks about the misdiagnoses or the errors made by this test. It says that the misdiagnoses are always those cases in which a person does not have the disease, but the scan says that the person has the disease. So all the errors are those errors in which we will have an unnecessary surgery.
This also means that there is no error in cases where the person actually has a disease, but the scan says that they don't have the disease. This option is eliminating the case in which the scan leads to the avoidance of a necessary surgery. So this option directly supports the conclusion, which was saying that using this test will not lead to any fewer necessary surgeries. This is the correct answer.
(C) all of the patients who are diagnosed with this test as having appendicitis do, in fact, have appendicitis
Incorrect. This option talks about those patients who are diagnosed by the scan as having the disease. The option says that all of these patients actually have the disease. This means that whenever the scan says the person has a disease, the scan is right. This also means that the scan is wrong only in those cases in which the scan says the person does not have the disease.
Think about it. The scan says the person does not have the disease, and the scan is wrong. This means that the person actually has the disease. So you have a case in which the person has a disease, but he will not get the surgery because the scan is saying he doesn't have the disease. So actually, this option is saying there will be an absence of some necessary surgeries. This option is going against the conclusion.
Let's consider the following variation of the option.
(C1): all of the patients undergoing the test who have appendicitis are diagnosed as having appendicitis
This variation of the option supports the conclusion by saying that everyone who has the disease is diagnosed as having the disease. So this supports that there will not be any absence of necessary surgeries. In a way, both option (B) and this variation mean the same thing. Of course, you cannot have both of these options together, but for learning's sake, we can understand that this variation would have been correct.
(D) every patient who is diagnosed with this test as having appendicitis has more than one of the symptoms generally associated with appendicitis
Incorrect. This option talks about patients who have been diagnosed by the test as having the disease. It says that those patients have more than one symptom associated with the disease. But does having more than one symptom mean that they have the disease? If so, then the option is saying the same as what option (C) is saying. So in any case, this option goes in the opposite direction to the conclusion.
The direction is opposite, but option (C) is much stronger because that option very clearly states that those persons have the disease, whereas this option is just saying that they have more than one symptom. In that case, there is no surety whether they have the disease or not.
(E) the only patients who are misdiagnosed using this test are patients who lack one or more of the symptoms that are generally associated with appendicitis
Incorrect. This option talks about the set of patients who are misdiagnosed using this test. It says that only those people are misdiagnosed who do not have some of the symptoms. So let's say there are 10 symptoms associated with the disease, and let's say a person has all 10 symptoms. Then, according to this option, this person will not be misdiagnosed. Only people with nine or fewer symptoms will be misdiagnosed.
But can we really say whether those people having nine or fewer symptoms actually have the disease or not? Not really. This option doesn't really tell me which patients are being misdiagnosed—patients having the disease or patients not having the disease. To support the conclusion, we need to say that the patients being misdiagnosed are those patients who do not have the disease, but this option does not really say that. This is incorrect.