Letter to the editor: Your newspaper’s advertisement claims that you provide coverage of the high school’s most popular sports. Clearly this is false advertising. Of the school’s students, 15 percent compete on the track team, while only 5 percent of the students play basketball. Hence, track is far more popular than basketball, yet track gets no coverage and basketball gets full-page coverage.

Summarize Argument: Counter-Position
The author concludes that the newspaper does not provide coverage of the high school’s most popular sports. This is based on the fact that track gets no coverage, while basketball gets full-page coverage. In addition, 15% of the school’s students compete on the track team, while only 5% compete on the basketball team. The author takes this to imply that track is far more popular than basketball.

Identify and Describe Flaw
The author interpret’s the newspaper’s claim of providing coverage of the most “popular” sports as a reference to the most-participated in sports. But “popular,” as the newspaper used it, means of high interest to the public or to the school’s students, or to the newspaper’s readers.

A
infers a cause from a mere correlation
The author does not conclude or assume a causal relationship. The argument concerns whether the school covers the most “popular” sports, not about cause and effect.
B
bases its conclusion on a sample that is too small
The argument doesn’t generalize from a sample. The citation to track and basketball statistics are intended to show that basketball is more popular than track. Also, we have no indication that the number of track participants or basketball participants are too small.
C
misinterprets a key word in the newspaper’s advertisement
The author misinterprets the word “popular.” The author thinks it refers to the most-participated in sports, but it actually refers to popularity as in the level of interest.
D
employs as a premise the contention it purports to show
(D) describes circular reasoning. The conclusion — that the newspapers does not cover the most popular sports — does not restate a premise.
E
criticizes the source of a claim rather than the claim itself
The author doesn’t criticize the newspaper as part of proving that the newspaper’s claim is false.

6 comments

Some scientific issues are so complex and counterintuitive that they cannot be well understood by readers of popular magazines. Nonetheless, stories about these difficult scientific issues are frequently the ones that these readers would find most fascinating. Unfortunately, this means that some of the scientific stories that would be most interesting to readers are usually not covered in popular magazines since _______.

Summarize Argument
The author concludes that some of the scientific stories that would be the most interesting to readers are unlikely to be covered in popular magazines. The author supports the conclusion by explaining that stories about complex scientific topics, which are likely to be super interesting, are not easily understood by readers. We need to fill in a missing premise to complete the argument.

Notable Assumptions
The author assumes that a story not being easily understood by popular magazine readers means that it will not be covered in a popular magazine.

A
editors of popular magazines generally do not approve stories about issues that cannot be well understood by those magazines’ readers
This strengthens the argument by giving us a direct reason to believe that stories that cannot be well understood by readers are not likely to be covered in magazines. This in turn supports the author’s conclusion that interesting but difficult topics will not be covered.
B
popular magazines cannot stay in business unless they regularly publish stories that their readers find interesting
This is irrelevant. The author isn’t making such sweeping claims about whether popular magazines do or don’t publish interesting stories, just claiming that some particular stories that would probably be interesting are not published.
C
highly complex and counterintuitive theories are increasingly common in almost all branches of science
This is irrelevant, since the author is only claiming that complex scientific issues would usually make for some of the most interesting stories to readers of popular science magazines. How common or uncommon those issues are doesn’t matter to the argument.
D
readers of popular magazines are generally unable to accurately assess their own understanding of complex scientific issues
It doesn’t matter to the argument whether readers are able to assess their understanding of complex scientific issues, only whether they actually do or don’t understand those issues.
E
most readers of popular magazines are unwilling to seek out other sources in order to read about scientific issues that they find interesting
Whether or not readers find other sources to read about scientific issues is irrelevant, as the author is only making claims about what scientific issues are likely to be covered in popular magazines.

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Film director: It’s inaccurate to say that filmgoers stayed away from my film because it received one or two negative reviews. My film had such a small audience during its opening weekend simply because it was competing with several other films that appeal to the same type of filmgoer that mine does, and the number of such viewers is relatively small.

Summarize Argument: Phenomenon-Hypothesis
The director hypothesizes that negative reviews were not the reason that filmgoers stayed away from the director’s film. The director instead offers an alternative explanation for the film’s small opening weekend audience, based on observations about potential viewers: the small audience was because of a small initial pool of interested filmgoers being split among the director’s film and other, similar films that weekend.

Notable Assumptions
The director assumes that negative reviews couldn’t also have contributed to the low turnout. The director also assumes that if a filmgoer sees a competing film in the same weekend, that filmgoer will be less likely to see the director’s film.

A
The film director’s film received no positive reviews.
This doesn’t strengthen the director’s hypothesis, as the argument is that the low audience turnout on the film’s opening weekend was only caused by competition from other films, and not by reviews. If anything, this might weaken by making the bad reviews more impactful.
B
Filmgoers seldom see more than one film in a weekend.
This strengthens by affirming the assumption that filmgoers who saw a competing film would be less likely to see the director’s film. This makes it more reasonable to claim that competing films are the true explanation for the lower audience.
C
The total number of filmgoers was larger than average on the weekend the film director’s film opened.
Even with a high total number of filmgoers on the opening weekend, the pool of viewers for films like the director’s could still be small, so this doesn’t clearly affect the argument.
D
Each of the other films that the film director alludes to received one or two positive reviews.
Without knowing anything about the audience turnout for those other films relative to the director’s film, this doesn’t help us determine whether reviews are likely to have affected the turnout for the director’s film.
E
Most filmgoers are drawn to a variety of kinds of film.
This is irrelevant, because we already know that only a small number of people like the kind of film made by the director, regardless of how they feel about other types of films.

3 comments

Researchers have found that the percentage of people who start new businesses is much higher in countries with high per capita income than in countries with moderate per capita income. This is to be expected since most entrepreneurs in high- and middle-income countries start businesses to take advantage of perceived business opportunities, and there are more such opportunities in high-income countries. Surprisingly, however, the researchers also found that the percentage of people who start businesses is even higher in low-income countries than in high-income ones.

"Surprising" Phenomenon

Why is the percentage of people starting businesses higher in low-income countries than in high-income ones, even though there are more perceived business opportunities in high-income countries, where entrepreneurs often start businesses to take advantage of these opportunities?

Objective

The correct answer will be a hypothesis explaining the difference in motivations for starting a business in high- versus low-income countries. While entrepreneurs in high-income countries often start businesses take advantage of abundant perceived business opportunities, entrepreneurs in low-income countries must have a different motivation.

A
In both high- and low-income countries, well over half of new businesses expect to provide jobs for no more than one or two people.

This does not provide a difference between the reasons for starting a business in high-income countries versus in low-income countries. Instead, it gives us a similarity in the expected job creation of new business in both high- and low-income countries.

B
Many governments of high-income countries provide assistance to individuals who want to start businesses, but very few governments of low-income countries do so.

This adds confusion by suggesting why people in low-income countries would be less likely to start a business, instead of explaining why they are actually more likely to do so than those in high-income countries.

C
The percentage of new businesses that fail within a few years of being founded is generally no higher in low-income countries than in high-income countries.

We need a difference in the reasons for starting a business in low-income versus high-income countries. Instead, (C) gives us a similarity in the failure rates of business in low- and high-income countries.

D
In high-income countries, many entrepreneurs who start businesses to take advantage of perceived business opportunities soon discover that the opportunities were illusory.

Whether the perceived business opportunities in high-income countries are illusory does not explain why the percentage of people starting businesses is higher in low-income countries. We need an alternate reason for starting a business in low-income countries.

E
In low-income countries, most entrepreneurs start businesses because all other employment options are either absent or unsatisfactory.

This explains why more people start businesses in low-income countries than in high-income ones: in low-income countries, entrepreneurs often start businesses due to limited job options, rather than because of abundant business opportunities.


2 comments

Albert: Swenson’s popular book, which argues that sun exposure does not harm skin cells, is a model of poor scholarship. Nonetheless, it is valuable because it has stimulated new research on sun exposure.

Yvonne: You’re kidding me! You might as well say that a virus is valuable because it stimulates epidemiologists.

Speaker 1 Summary
Albert claims that Swenson’s book is valuable, despite its major scientific flaws. Why could that be? Because the problems with the book have led to new, useful research about sun exposure.

Speaker 2 Summary
Yvonne thinks that that stimulating new research is not enough to make Swenson’s book valuable (although this conclusion is implied, not explicit). To support this point, Yvonne uses an analogy: it would be ridiculous to say that a virus is valuable because it leads to new epidemiology research. Swenson’s book is held to be analogous to the virus, so stimulating research alone doesn’t make it valuable.

Objective
We need to find a point of disagreement. Albert and Yvonne disagree about whether stimulating new research makes Swenson’s book valuable.

A
sun exposure harms skin cells
Both speakers almost certainly agree with this claim. Albert calls Swenson’s claim that sun exposure doesn’t harm skin cells “a model of poor scholarship,” and Yvonne seems even more critical of Swenson than Albert does.
B
Swenson’s book is a model of poor scholarship
Albert agrees with this, and Yvonne almost certainly does as well. Yvonne compares Swenson’s book to a virus and argues against recognizing any value in it, which is very consistent with this statement.
C
Swenson’s book should be considered valuable
Albert agrees with this, and Yvonne disagrees. This is the point at issue. Albert’s conclusion is that the book has some value, if only due to stimulating other research. Yvonne argues that stimulating research doesn’t make the book valuable, leaving it with no value at all.
D
Swenson’s book has stimulated new research on sun exposure
Albert agrees with this, and Yvonne likely does as well. Albert states this as a fact, and Yvonne appears to take it for granted. The disagreement is just about whether stimulating new research makes the book valuable.
E
something that does not stimulate new research can have value
Neither speaker talks about this. The argument is about whether or not a book that has stimulated new research is valuable; the issue of what else is valuable and why is never brought up.

1 comment

Among small- to medium-sized marine mammals such as seals and dolphins, the longer an animal can stay submerged during a dive, the greater the depth the animal can reach. Dolphins can dive to greater depths than northern fur seals can, and elephant seals can stay submerged longer than Weddell seals can.

Summary
Among small-to-medium-sized marine mammals, the longer an animal can stay submerged during a dive, the greater the depth the animal can reach. Dolphins can dive to greater depths than northern fur seals can. Elephant seals can stay submerged longer than Weddell seals can.

Notable Valid Inferences
For MBT-Except questions, the wrong answers are all Could Be True. The one right answer Must Be False.
Dolphins can dive to greater depths than Weddell seals, but not as deep as Elephant seals can.
Northern fur seals can dive to greater depths than Weddell seals, but not as deep as Elephant seals can.

A
Dolphins can dive to greater depths than Weddell seals can, but not to depths as great as elephant seals can.
Could be true. It is possible for dolphins to dive to a depth greater than Weddell seals but not as deep as elephant seals.
B
Weddell seals can stay submerged longer than northern fur seals can, but dolphins can dive to greater depths than Weddell seals can.
Could be true. It is possible for Weddell seals to dive to a depth greater than northern fur seals but not as deep as dolphins.
C
Weddell seals can dive to greater depths than dolphins can and can stay submerged longer than northern fur seals can.
Must be true. The stimulus tells us that dolphins can dive to greater depths than northern fur seals. If Weddell seals dive deeper than dolphins, then they must also dive deeper than northern fur seals.
D
Northern fur seals can stay submerged longer than elephant seals can, but Weddell seals can dive to greater depths than dolphins can.
Must be false. It is impossible for Weddell seals to dive deeper than dolphins if northern fur seals dive deeper than elephant seals.
E
Northern fur seals can stay submerged longer than Weddell seals can, but elephant seals can dive to greater depths than northern fur seals can.
Could be true. It is possible for northern fur seals to dive to a depth greater than Weddell seals but not as deep as elephant seals.

31 comments

The stimulus tells us that tariffs help a small group of people (let's say 10 people) but hurts a large group of people (let's say 100 people). You take a poll of all the people (110) and no surprise, most are opposed to the tariffs (say all 100 are opposed).

Great. That's it. 10 people are for the tariffs. 100 are against.

Now imagine you're the politician and you know these facts. What platform are you going to run? An anti-tariff platform? Maybe. It's not entirely unreasonable. But you should identify the assumption you'd be making if you were to run anti-tariff. Namely, that the tariff issue is important to those 100 people.

Obviously, you want to harness votes and avoid driving votes away. If you assume the world is such that tariffs matter equally to everyone, then an anti-tariff platform would harness 100 votes and drive away 10 votes. You come out +90 votes, good.

Negating (A) severely challenges the assumption. It opens up the possibility that the actual world is one in which the pro-tariff 10 people care way more about the tariff than the anti-tariff 100 people. If that were the case, then an anti-tariff platform would for sure lose you 10 votes without a guarantee of adding any additional votes.

We know this intuitively in the real world. People care about many many things. But not all of those things translate into political action through voting. In other words, the set of things that people vote on is a small sub-set of the things that people care about.

The phenomenon that (A) hints at is actually very well documented in economics and politics. The issue is one of concentrated benefits versus diffuse costs. Think of it like this. There's a set of laws that allow you to take a penny from everyone in the country each year. You're net positive roughly $3 million each year. Everyone is hurt one penny each year. Who cares about that law more? Of course you do. You care intensely that that law remain in place and you will take political action to ensure that it does. This would at minimum include voting on that basis but more likely even include lobbying. Me? I sort of care a little maybe that that law gets repealed. Certainly I don't care from a selfish economics perspective, after all I only stand to gain 1 penny. I have to find motivation to care from a justice or fairness principle and that's harder to muster. I very likely will not take any political action on this issue.

In most states, lobbyists ensure that legislation force the retail distribution of cars through dealerships, even if direct distribution from the manufacturer to the consumer is more economically efficient. But the benefits of this regime are concentrated to the dealerships (it's their entire livelihoods!) while the costs are diffused to everyone else (everyone pays a little more for their cars and manufacturers earn a little less). The vocal minority with a lot to gain will organize politically while the indifferent majority with little to lose individually will not. The end result is a net loss for society.

The presence of concentrated benefits versus diffuse costs is a bug in our political system, not a feature.


48 comments

Most of the mines that Moradco operates in the province of Velyena have never violated environmental regulations. Every one of the gold mines that Moradco operates throughout the world has at some time or another violated environmental regulations.

Summary
Most mines that Moradco operates in the province of Velyena have never violated environmental regulations. Every gold mine Moradco operates has at some time violated environmental regulations.

Notable Valid Inferences
Most of the mines Moradco operates in Velyena are not gold mines.

A
Moradco operates more mines in Velyena than any other company operates there.
Could be false. We don’t have any information in the stimulus about the total number of mines to make this comparison. Our conditions are restricted to the proportion of mines that have or have not violated environmental regulations.
B
The total number of gold mines that Moradco operates is larger than the total number of mines it operates in Velyena.
Could be false. We don’t have any information in the stimulus about the total number of mines to make this comparison. Our conditions are restricted to the proportion of mines that have or have not violated environmental regulations.
C
Most of the gold mines that Moradco operates are not located in Velyena.
Could be false. We don’t have any information in the stimulus about the total number of mines Moradco operates to make this statement. We cannot assume that just because most mines in Velyena have not violated environmental regulations that most mines are not located there.
D
Most of the mines that Moradco operates in Velyena are not gold mines.
Must be true. As shown below, we can take the contrapositive of the last statement in the stimulus which tells us that if a mine has never violated environmental regulations, then that mine is not a gold mine.
E
Most of the mines that Moradco operates throughout the world are not gold mines.
Could be false. We don’t have any information in the stimulus about the number of mines Moradco operates outside of the province of Velyena. It is possible that most of Moradco’s mines are in Velyena.

9 comments

Everyone should have access to more than one newspaper, for there are at least two sides to every story. Since all sides of an important story should be covered, and no newspaper adequately covers all sides of every one of its stories, some important stories would not be adequately covered if there were only one newspaper.

Summarize Argument
The author concludes that everyone should have access to more than one newspaper. This is based on a subsidiary conclusion that, if there were only one newspaper, some important stories wouldn’t be covered. The author supports this subsidiary conclusion by noting that there are at least two sides to every story, and no single newspaper adequately covers all sides of every story.

Identify and Describe Flaw
The author overlooks the possibility that even if no newspaper adequately covers all sides of every story, they might be able to cover all sides of every important story. The statement that newspapers can’t adequately cover “all sides of every story” means only that less than 100% of stories have all sides covered. But this doesn’t mean every single story will have inadequate coverage. Some stories can have all sides covered; those stories might be the important ones.

A
The argument confuses the inability to cover all sides of every story with the inability to cover all sides of any important story.
Premises establish only that newspapers can’t cover all sides of every story. (Some stories won’t be adequately covered.) The author thought this implies newspapers can’t cover all sides of any story. (Every story, including all important ones, will not be adequately covered.)
B
The argument overlooks the possibility that two newspapers could provide the same incomplete coverage of the same important stories.
This possibility doesn’t hurt the argument, because the author never concludes that having 2 newspapers is sufficient to see all sides of important stories. Having only 1 isn’t enough. But the author never said having 2 is enough.
C
A conclusion about what newspapers should do is inferred solely from statements about what newspapers in fact do.
The conclusion is not about what newspapers should do. It’s about what people (”everyone”) should have access to. Also, one of the premises asserts that all sides of an important story “should” be covered. So the premises are not just factual statements about what newspapers do.
D
The argument takes for granted that everyone has access to all newspapers.
The author doesn’t assume that everyone can access all newspapers. What people “should” be able to access is separate from what they in fact can access.
E
The argument is concerned only with important stories and not with all stories.
There’s nothing flawed about making an argument focused only on important stories. What matters is whether the premises prove the conclusion. The choice of what kind of story to focus on in the argument is not itself a flaw.

76 comments