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05 Jul 2023, 11:43
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Patriarch
Imagine this scenario: there are two categories of film, comedy and horror. Let's say 20% of the comedies are accepted and 10% of the horror films are accepted.
We know that the acceptance rate within each category is the same for foreign and domestic films, so we'd have the following acceptance rates:
Foreign comedies: 20%
Domestic comedies: 20%
Foreign Horror: 10%
Domestic Horror: 10%
Notice that the acceptance rate within foreign or domestic films is a weighted average of comedy and horror films, so if comedies dominate, the overall acceptance rate will be closer to 20% and if horror films dominate, the overall acceptance rate will be closer to 10%.
If the overall acceptance rate for domestic films is higher, we know that the domestic films will have a higher proportion of comedies than the foreign films do. But that doesn't mean there are more domestic films overall.
For example, if you had 9 domestic comedies and 1 domestic horror film, but you also had 100 foreign comedies and 100,000 foreign horror films, you'd have a scenario where the overall acceptance was higher in comedy-heavy domestic films, but you had WAY more foreign films overall. So it doesn't have to be true that there are more domestic films overall, and (B) is out.
I hope that clears things up!
28 Aug 2024, 04:56
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GMATNinja ChiranjeevSingh
Let's say we have two categories , in first category domestic films are 20 and foreign films are 20 and accepted films are 5 for each so rate of acceptance will be 25 percent ,
Now in Second category we have 30 domestic films and 20 foreign films , but here 15 films of domestic are accepted and 10 films of foreign are accepted , so rate of acceptance is 50 percent.
Now considering both the facts being true here we see fact 1 satisfying and also now for fact 2 as well satisfying . so then overall Domestic films will be 20/50 vs Foreign films will be 15/40 . so , its giving us a clear indication that "Significantly more domestic films were created more than foreign films" so can you find out the fallacy in my explanation ? Why is B not correct
Let's say we have two categories , in first category domestic films are 20 and foreign films are 20 and accepted films are 5 for each so rate of acceptance will be 25 percent ,
Now in Second category we have 30 domestic films and 20 foreign films , but here 15 films of domestic are accepted and 10 films of foreign are accepted , so rate of acceptance is 50 percent.
Now considering both the facts being true here we see fact 1 satisfying and also now for fact 2 as well satisfying . so then overall Domestic films will be 20/50 vs Foreign films will be 15/40 . so , its giving us a clear indication that "Significantly more domestic films were created more than foreign films" so can you find out the fallacy in my explanation ? Why is B not correct
ClaireCHEN
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29 Aug 2024, 07:09
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Background information: This year, each film submitted to the Barbizon Film Festival was submitted in one of ten categories. For each category, there was a panel that decided which submitted films to accept.
Fact I : Within each category, the rate of acceptance for domestic films was the same as that for foreign films.
Fact II : The overall rate of acceptance of domestic films was significantly higher than that of foreign films.
In light of the background information, which of the following, if true can account for fact I and fact II both being true of the submissions to this year's Barbizon Film Festival?
So the option has to explain:
1. why each category has similar accp rate and
2. there are more domestic films accepted in absolute value
A. In each category, the selection panel was composed of filmmakers , and some selection panels included no foreign filmmakers. --Not relevant
B. Significantly more domestic films than foreign films were submitted to the festival. --yes for 2, but not for 1
C. In each of the past three years, the overall acceptance rate was higher for foreign than for domestic films, an outcome that had upset some domestic filmmakers. --Not relevant
D. The number of films to be selected in each category was predetermined, but in no category was it required that the acceptance rate of foreign films should equal that of domestic films. --Not consistent w/ fact 1 and mentioned neither 1 or 2
E. Most foreign films, unlike most domestic films, were submitted in categories with high prestige, but with correspondinly low rates of acceptance. -- Which means in high prestige category the accp rate of both foreign and domestic films are low where more domestic films are in non-prestige categories and the accp rate of domestics and foreigns could be 50/100 and 5/10, still satisfies 1.
Fact I : Within each category, the rate of acceptance for domestic films was the same as that for foreign films.
Fact II : The overall rate of acceptance of domestic films was significantly higher than that of foreign films.
In light of the background information, which of the following, if true can account for fact I and fact II both being true of the submissions to this year's Barbizon Film Festival?
So the option has to explain:
1. why each category has similar accp rate and
2. there are more domestic films accepted in absolute value
A. In each category, the selection panel was composed of filmmakers , and some selection panels included no foreign filmmakers. --Not relevant
B. Significantly more domestic films than foreign films were submitted to the festival. --yes for 2, but not for 1
C. In each of the past three years, the overall acceptance rate was higher for foreign than for domestic films, an outcome that had upset some domestic filmmakers. --Not relevant
D. The number of films to be selected in each category was predetermined, but in no category was it required that the acceptance rate of foreign films should equal that of domestic films. --Not consistent w/ fact 1 and mentioned neither 1 or 2
E. Most foreign films, unlike most domestic films, were submitted in categories with high prestige, but with correspondinly low rates of acceptance. -- Which means in high prestige category the accp rate of both foreign and domestic films are low where more domestic films are in non-prestige categories and the accp rate of domestics and foreigns could be 50/100 and 5/10, still satisfies 1.
