This is a Flaw/Descriptive Weakening question.

The stimulus says that a club wanted to determine whether it could increase attendance by changing its weekly meeting from Tuesday to another day. So at one Tuesday meeting, the club's president took a survey of all members present, and 95% said they had no difficulty attending on Tuesdays. The club president therefore concluded that the attendance problem was not due to scheduling conflicts.

This is strange. Why did the president survey the members already present at a Tuesday meeting on whether Tuesday is a good day? They already showed up to the meeting, so Tuesday is obviously a convenient day for them. And while you can say that the Tuesday meeting was not an issue for the Tuesday attendees, you cannot draw the same conclusion about all members. This is the big flaw in the argument. The members present on Tuesday are an unrepresentative sample, and they specifically do not represent the people who were not present on Tuesday.

Here is a helpful analogy. Say I am an ice cream shop owner who only sells vanilla ice cream and I want to increase my revenue by possibly changing my flavor to chocolate or strawberry. So I survey all of my customers and 95% say they have no problem with the vanilla flavor. I therefore decide that my revenue problem is not due to the flavoring of the ice cream. What a silly argument, right? I am asking people who are already buying my vanilla ice cream if vanilla flavor is the issue. The customers surveyed are not representative of people who are not yet my customers.

Answer Choice (B) says that the reasoning makes a generalization on the basis of a sample that is likely to be unrepresentative. (B) picks up on the cookie-cutter flaw above. The club president makes a generalization about all members on the basis of an unrepresentative sample, the members who had no problem showing up on Tuesdays.

Answer Choice (A) says that the reasoning draws a conclusion on the basis of circular reasoning. This is not an instance of circular reasoning. Circular reasoning has conclusions and premises that effectively say the same thing, such as “I am the best because no one in the world is better than me.”

If you picked (A), you might have thought that the argument uses circular reasoning because of the repeated use of Tuesday meeting attendance. However, circular reasoning would look something like “the attendance problem is not due to scheduling conflicts because scheduling conflicts do not create attendance problems.” The stimulus instead has distinct premise and conclusion claims.

Answer Choice (C) says that the reasoning treats a generalization that applies to most cases as if it applied without exception. But the conclusion explicitly accounts for possible exclusions because it says the attendance problem was not due primarily to scheduling conflicts. For (C) to be correct, the argument would have to say that since most members of our club said that weekend meetings are okay, weekend meetings are okay for everybody in our club.

Answer Choice (D) says the reasoning draws a conclusion on the basis of premises that contradict one another. The stimulus does draw a conclusion, but there are no premises that contradict one another.

To contradict the first premise, we have to say that a club does not want to figure out if it could increase attendance by changing its weekly meeting. To contradict the next premise, we have to say that at one Tuesday meeting, the club president did not take a survey. To contradict the last premise, we have to say that of those surveyed, 95% said that they did have difficulty with a Tuesday meeting. None of these contradictory statements are present in the stimulus.

Answer Choice (E) is the oldest mistake in the book. It says that the club president’s reasoning is inferring, solely from the claim that a change is not sufficient to solve a problem, that it is not necessary either.

Let's illustrate what the argument would have to look like for (E) to be correct. A club has decided that it wants to double its attendance. It realized that if they move their meetings from Tuesdays to Fridays, their attendance will increase by only 10%. Since this change is not sufficient, it concluded that it is not necessary either.

That’s sufficiency necessity confusion. It’s a flaw because it’s possible that moving the meeting to Friday, while insufficient, is actually necessary. For example, perhaps providing free beer on Fridays will supply the remaining 90% increase. While neither change is independently sufficient, both are necessary.


5 comments

All of the students at Harrison University live in one of two residence complexes, either Pulham or Westerville. Although just a small fraction of the classes at Harrison are night classes, 38 percent of Harrison students take at least one night class. That figure is lower for Harrison students living in Westerville: Only 29 percent of those students take at least one night class.

Summary
All Harrison University Students live in either Pulham or Westerville.

A small fraction of the classes at Harrison are night classes.

38% of Harrison students take at least one night class.

29% of students living in Westerville take at least one night class.

Notable Valid Inferences
If a student doesn’t live in Westerville, the student lives in Pulham.

Over 38% of students living in Pulham take at least one night class.

A
More than 38 percent of the students at Harrison who live in Pulham take a night class.
Must be true. Since all students live in either Pulham or Westerville, the overall 38% night-class enrollment is an average of both groups. Westerville students have a lower rate (29%), meaning Pulham students must have a higher rate to balance the overall percentage at 38%.
B
More than 50 percent of the students who take night classes at Harrison are from Pulham.
Could be false. We don’t know how many students live in each dorm. It could be the case that Westerville has more students than Pulham––in this case, over 50% of the night class students would be from Westerville, even though only 29% of Westerville students take night classes.
C
More students at Harrison live in Westerville than live in Pulham.
Could be false. We don’t know anything about the relative sizes of the two residence complexes.
D
Harrison students living in Pulham are less likely than those living in Westerville to take more than one night class.
Could be false. We don’t know anything about people who take more than one night class. The stimulus only discusses students who take at least one night class.
E
Night classes at Harrison have larger enrollments, on average, than day classes do.
Could be false. We don’t know anything about the enrollment size of day classes.

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