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Re: The proportion of women among students enrolled in higher education pr [#permalink]
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Anant87 wrote:
VeritasKarishma wrote:
preetamsaha wrote:
VeritasKarishma GMATNinja "only 11 percent of the women between twenty and twenty-one were enrolled in college, while in 1981" from this what can I say about rest 89 % ? is it the group of women of different age , or the group or men ? and what's the relation between this premise and conclusion? i want a equation or mathematical relation between these twos.



in 1959, only 11 percent of the women between twenty and twenty-one were enrolled in college, while in 1981, 30 percent of the women between twenty and twenty-one were enrolled in college.

In 1959,
of every 100 women between ages 20 and 21, only 11 were enrolled in college.
The rest 89 women between ages 20 and 21 were not enrolled in college.

In 1981,
of every 100 women between ages 20 and 21, 30 were enrolled in college.
The rest 70 women between ages 20 and 21 were not enrolled in college.

These numbers are just women's numbers. Nothing to do with men.

The conclusion says: proportion of women among students enrolled in higher education programs has increased

students enrolled = men + women
We need to know whether proportion of women has increased. Then we need to know what happened to the number of men in that time frame.

We need to know how many men of that age group were enrolled in college at that time.
If in 1959, only 11% of men in that age range were enrolled too, then proportion of women would be 50% (assuming equal men-women population in that age range)
If in 1981, 70% men in that age range were enrolled, then proportion of women in the enrolled would be 30% (assuming equal men-women population in that age range)

So proportion of women would have declined.

On the other hand, if in 1981, only 20% men in that age range were enrolled, then promotion of women in the enrolled would be 60%. So promotion of women would have increased.

Hence we need to know the percentage of men enrolled in that age range.

Answer (D)


Hi VeritasKarishma

Is it safe to assume equal men-women population ? If population mix changes then option (D) may not be enough.

Case 1 :
11% of women between 20-21 in 1959 & 20% of men between 20-21 in 1959
(total population - 100 , men-30 , women-70)
So no. of women in college = 7.7 & no. of men in college = 6

30% of women between 20-21 in 1981 & 40% of men between 20-21 in 1981
(total population - 100 , men-10 , women-90)
So no. of women in college = 27 & no. of men in college = 4

So the proportion of women has increased in this case

Case 2 :
11% of women between 20-21 in 1959 & 20% of men between 20-21 in 1959
(total population - 100 , men-30 , women-70)
So no. of women in college = 7.7 & no. of men in college = 6

30% of women between 20-21 in 1981 & 40% of men between 20-21 in 1981
(total population - 100 , men-90 , women-10)
So no. of women in college = 3 & no. of men in college = 36

So the proportion of women has decreased in this case

Request your inputs please , Im a bit confused.


Yes, (D) is not sufficient but certainly a step forward and quite useful. The men and women split in the population isn't expected to be a whole lot different so with (D), we can better evaluate. It is certainly an important data point though not enough to establish the conclusion.
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The proportion of women among students enrolled in higher education pr [#permalink]
Hi IanStewart

Could you please help with this question?

Although I have found the correct asnwer by eliminating wrong answers, I still have some doubt with OA(D).

Conclusion:
Quote:
The proportion of women among students enrolled in higher education programs has increased over the past decades.


The conclusion talks about women in general, but statistics are only about women between 20 and 21. Yet, How about other women, such as those between 22 and 25. (D) only talks about men 20 and 21. Even if the propotion of women between 20 and 21 rose and the propotion of men between 20 and 21 rose / decreased, the propotion of women who were between 22 and 25 and who were enrolled would decrease significantly, perhaps to zero.

Of course, (D) is the best one among other answer choices, but we cannot evaluate the argument even with (D).

The question seems quite old and so may have some problems.

Is it a typical characteristic of new C.R questions?

Could you please explain why (D) is correct?

Thank you very much beforehand!
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Re: The proportion of women among students enrolled in higher education pr [#permalink]
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Ilhomjon98 wrote:
Hi IanStewart

Could you please help with this question?

The conclusion talks about women in general, but statistics are only about women between 20 and 21. Yet, How about other women, such as those between 22 and 25. (D) only talks about men 20 and 21. Even if the propotion of women between 20 and 21 rose and the propotion of men between 20 and 21 rose / decreased, the propotion of women who were between 22 and 25 and who were enrolled would decrease significantly, perhaps to zero.


The obvious issue with the argument is that it constructs a faulty comparison. It draws a conclusion about the fraction of students who are women at university. But it doesn't compare women with men. It compares women in the 1950s with women in the 1980s. We learn that 11% of age 20-21 women were enrolled in 1959, and 30% were enrolled in 1981. That tells us nothing about how the balance of women and men at university has changed -- maybe 11% of age 20-21 men were enrolled in 1959, and 30% of those men were enrolled in 1981, and universities have consistently been roughly 50% women for decades.

That's the most important issue with the evidence used to support the conclusion -- it really doesn't support the conclusion at all, unless we make the same comparison for men. So D is the right answer here.

The age issue you raise is potentially relevant, but it's a much less important issue. Sure, maybe people who go to university in the 1980s tend to be older or younger than those who went in the 1950s, or maybe the ages at which men and women tend to go to university differ, or differed in one of those two eras. So it's possible that one should not be comparing age 20-21 people in 1959 with age 20-21 people in 1981 to make an argument like this. But even if we knew the argument was making a fair comparison (say we knew that men and women both all go to university at the same ages in the 1950s and in the 1980s) the argument would still be making a faulty comparison. Unless we can compare men in 1959 and 1981, the data in this argument is meaningless, so D overrides every other concern, and you'd only want to look for an answer about age groups in a question like this if an answer like D was absent.
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Re: The proportion of women among students enrolled in higher education pr [#permalink]
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There can be a possibility that the number of men and women might be different in those corresponding years.

However, suppose if we take the total number of students who are aged btwn 20-21 in 1959 and 1981 are x and y repectively.

Proportion of women in 1959 = 11 * x / [11*x + (__) * x]

Proportion of women in 1981 = 11 * y/ [11* y+ (__) * y ]


(__) => % of men enrolled between 20-21 enrolled in university.

So D is right
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Re: The proportion of women among students enrolled in higher education pr [#permalink]
(D) The percentage of men between twenty and twenty-one who were enrolled in college
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Re: The proportion of women among students enrolled in higher education pr [#permalink]
“The proportion of women among student“
So we have check number of men enrolled in higher studies.
Suppose 11 women and 100 men was before but now 30 women and 5000 men are enrolled. May be percentage of women increase but proportion decrease.
ANSWER:D

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Re: The proportion of women among students enrolled in higher education pr [#permalink]
KarishmaB wrote:
preetamsaha wrote:
VeritasKarishma GMATNinja "only 11 percent of the women between twenty and twenty-one were enrolled in college, while in 1981" from this what can I say about rest 89 % ? is it the group of women of different age , or the group or men ? and what's the relation between this premise and conclusion? i want a equation or mathematical relation between these twos.



in 1959, only 11 percent of the women between twenty and twenty-one were enrolled in college, while in 1981, 30 percent of the women between twenty and twenty-one were enrolled in college.

In 1959,
of every 100 women between ages 20 and 21, only 11 were enrolled in college.
The rest 89 women between ages 20 and 21 were not enrolled in college.

In 1981,
of every 100 women between ages 20 and 21, 30 were enrolled in college.
The rest 70 women between ages 20 and 21 were not enrolled in college.

These numbers are just women's numbers. Nothing to do with men.

The conclusion says: proportion of women among students enrolled in higher education programs has increased

students enrolled = men + women
We need to know whether proportion of women has increased. Then we need to know what happened to the number of men in that time frame.

We need to know how many men of that age group were enrolled in college at that time.
If in 1959, only 11% of men in that age range were enrolled too, then proportion of women would be 50% (assuming equal men-women population in that age range)
If in 1981, 70% men in that age range were enrolled, then proportion of women in the enrolled would be 30% (assuming equal men-women population in that age range)

So proportion of women would have declined.

On the other hand, if in 1981, only 20% men in that age range were enrolled, then proportion of women in the enrolled would be 80%. So proportion of women would have increased.

Hence we need to know the percentage of men enrolled in that age range.

Answer (D)



If we just need proportion of men's population studying in college, then we have to consider some population of men in the age group 20-21. Here you have assumed it as equal to women's population at age 20-21. Can you explain why you have done this? Because without the population assumption we cannot get the answer
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