shasadou wrote:
To be considered for inclusion in the Barbizon Film Festival, a film must belong either to the category of drama or of comedy. Drama always receives more submissions but has a lower acceptance rate than comedy. All of the films are either foreign or domestic. This year, the overall acceptance rate for domestic films was significantly higher than that for foreign films. Within each category, drama and comedy, however, the acceptance rate for domestic films was the same as that for foreign films.
From the cited facts it can be properly concluded that
A. significantly fewer foreign films than domestic films were accepted
B. a higher proportion of the foreign than of the domestic films submitted were submitted as dramas
C. the rate of acceptance of foreign films submitted was the same for dramas as it was for comedies
D. the majority of the domestic films submitted were submitted as comedies
E. the majority of the foreign films submitted were submitted as dramas
Mo2men wrote:
Dear Mike,
I wish you could share your thoughts in solving an
OG-CR question. It's conclusion type. It is important to see your process of thinking to solve this kind of question, if I face in exam.
Thanks in advance for you support.
Dear
Mo2men,
I'm happy to respond.
First of all, there are so many stipulations in this question, this is one of the exceedingly few questions on which I might recommend taking a blind guess and moving on, in the interest of time. There are many moving parts to this question, and this complexity makes it confusing and time-consuming.
This set-up is similar to an idea in statistics known as
Simpson's Paradox. The basic gist in this situation is
1)
Within each category, drama and comedy, the acceptance rate for domestic films was the same as that for foreign films.
Thus, the acceptance rate in each group is the same. We know, though, that it still be a low acceptance rate in dramas and a higher acceptance rate in comedies.
2) ...
the overall acceptance rate for domestic films was significantly higher than that for foreign films.
The overall rate is different from in-category rate (as in Simpson's paradox). This happens because a larger proportion of the domestic films were comedies, where the acceptance rate was much higher, and a larger proportion of the foreign films were drama, where the acceptance rate is smaller. Thus, a higher proportion of comedies would be accepted and a higher proportion of the dramas would be rejected.
For example, I just whipped up these numbers (fractions show "accepted" over "submitted"):
Attachment:
Barbizon Film Festival ratios.png
Notice that the number of submission for drama is higher overall.
I made the acceptance rate for dramas only 1%, and the acceptance rate for comedies 100%.
Many more of the domestic films are in comedy, with the big acceptance rate.
Many more the foreign films are in drama, with the tiny acceptance rate.
This does the trick.
Does this logic make sense?
Mike
Hi Mike, can you help clear up the reasoning for eliminating D and E? This was one of 6 I got wrong and it's bugging the hell out of me!
As an aside, do you think the actual verbal is a notch tougher than the GMATPrep verbal?