In the year following an eight-cent increase in the federal tax on a pack of cigarettes, sales of cigarettes fell ten percent. In contrast, in the year prior to the tax increase, sales had fallen one percent. The volume of cigarette sales is therefore strongly related to the after-tax price of a pack of cigarettes.
Which of the following, if true, would most strengthen the argument above?
In the year following an eight-cent increase in the federal tax on a pack of cigarettes, sales of cigarettes fell ten percent. In contrast, in the year prior to the tax increase, sales had fallen one percent. The volume of cigarettesales is therefore strongly related to the after-tax price of a pack of cigarettes.
Which of the following, if true, could most strengthen the argument above?
(A) During the second year after the tax increase, cigarette sales increased by a significant amount.
(B) The information available to consumers on the health risks of smoking remained largely unchanged in the period before and after the tax increase.
(C) Most consumers were unaware that the tax on cigarettes was going to increase.
(D) During the year following the cigarette tax increase, many consumers had less income, in inflation-adjusted dollars, than they had had in the previous year.
(E) During the year after the tax increase, there was a greater variety of cigarettes on the markey than there had been during the previous year.
答案是B,对于B没有疑问;想不通这个C。在manhattan上看到了跟我想的一样的一个提问:
Doesn't choice C also eliminate a potential cause to the effect that cigarette sales decrease is due to after-tax price?
My reasons: If consumers were aware of the tax increase, they would have bought more cigarette packs before such increase (this is a very reasonable assumption just as assuming health risks to be a cause of declining sales for choice B).
Logic: Aware beforehand so consumers buy more --> After increase consumers do not buy or buy at a normal rate --> hence the 'comparitive' decrease.
Is my argument anywhere close to sensible thinking?
Ron的解释:
this doesn't work. in general, the statements "if X happens, then Y will happen" and "if X doesn't happen, then Y won't happen" are unrelated to each other.
for instance,
if i win the lottery, then i will be very happy
--> according to your logic, this would mean that i will actually be unhappy if i don'twin the lottery.
i think you see the problem here.
【排除他因第二步】
如果要加强,就要说明原因2“消费者的囤货行为”没变(排除他因)。
那么就要思考“消费者没有意识到将要加税” = “消费者没有囤货行为”吗?
RON的回答是:
If A, then will B. 即A → B
并不能推断出:If not A, then will not B. 即 非A → 非B
在逻辑中,A → B,只能保证 非B → 非A,不能保证 非A → 非B
因此,“消费者没有意识到将要加税” ≠ “消费者没有囤货行为”。
所以C选项并不能完成排除他因的逻辑链条。
The argument focuses on the correlation between the volume of cigarette sales and the current price. (The argument just says "the price", but of course that means the current price, not a theoretical future price.)
If the consumers had been aware of the impending tax increase, then it's quite likely that they just loaded up on cigarettes while the price was still cheaper. In that case, their behavior would not have been motivated by the (current) price itself, but, rather, by the shadow of an impending price increase. (Once their stash is depleted, these consumers will presumably return to their normal buying behavior.)
My replying:
Hi, Ron
Thanks for replying!
You clarify one of my questions. Some questions still remain. Need help and correct my wrong reasoning!
1/
Now that current price is different form further theoretical price , I think C is indeed a potential correct choice. If people had loaded up cigarette the year before the tax was imposed, it is very reasonable to assume that when the tax was imposed, the volumes of cigarette sales decreased just because the stack of cigarette was not depleted rather than because the after-tax price were prohibitive.
I don't think C is wrong because" if A, then B" reasoning. The reason is in my NO.2 question. Need your justification.
Now, the only reason I find why C is wrong is this sentence:In contrast, in the year prior to the tax increase, sales had fallen one percent.
It has already ruled out the possibility that people loaded up cigarette by the impending price increase. C rules out a possible competing scenario that the stimulus has already done. Thus, C does not relatively strengthen the argument.
2/ What is your opinion about my reasoning as follows?
Am I correct?
Quote:
RonPurewal wrote:
anything disrupting the CAUSAL relationship between cigarette tax and cigarette consumption --> i.e., any ALTERNATIVE EXPLANATION FOR WHY THE TWO ARE CORRELATED --> will ruin the argument.
therefore, you can STRENGTHEN the argument by DISPENSING with such explanations.
Quote Ron‘s words:
this doesn't work. in general, the statements "if X happens, then Y will happen" and "if X doesn't happen, then Y won't happen" are unrelated to each other.
My Reasoning:
According to what you said, this question is a correlation to causation problem, and this kind reasoning assumes A is the only causal factor of B. If the choice can rule out any competing causal factor, it strengthens the argument.
IMO,the rule that the validity of "if A, then B" has nothing to do with the validity of "if not A, then not B" may not be applicable here. Because "if A, then B" reasoning does not require that A is the only causal factor of B.
RonPurewal :
Yeah. I somehow misread the argument last time -- I didn't notice that the sales decreased in both years cited. That rules out the idea of "loading up on cigarettes".
I think Ron is wrong about this explanation. The reasons are as follows.
1/
This is a correlation to causation question.
Premise: A is correlated with B; Conclusion: A is the cause of B.
In this type of question, the assumption or the gap between premise and conclusion is if and only if A, then B (A和B互为充要条件)and IS NOT If A, then B(A是B的充分条件)
In Ron's word, anything disrupting the CAUSAL relationship between cigarette tax and cigarette consumption --> i.e., any ALTERNATIVE EXPLANATION FOR WHY THE TWO ARE CORRELATED --> will ruin the argument.
Thus, if you can find any other explanation instead of the tax that can explain the decrease of cigarette consumption, you ruin this argument.
On the other hand, if you can eliminate this possible third factor or explain why this factor is unavailable, you strengthen the argument.
If Ron’s explanation is right, why B is correct? B and C are on the same line of reasoning.
2/
Why C is wrong?
In my opinion, C is a weaken choice.
Logic: Aware beforehand so consumers buy more --> After increase consumers do not buy or buy at a normal rate --> hence the 'comparative' decrease.
Awareness is not an alternative explanation.
Why people buy more when they aware beforehand the imposition of the tax?
Because the tax will increase the retail price of the cigarette.
The logic above still tells that the effect of the tax is the cause of the consumption decrease. It strengthens the argument.
If you negate this logic, then you somehow weaken the argument.