Hi Pls Help,
It sounds like you took a scattershot approach to the question, which tends to lead to the kind of confusion you described. This is an assumption question, so we always need to see whether there is a logical gap between a new element in the conclusion (ie something not in the premises but found only in the conclusion) and the premises; if there is, it's a Supporter type and our answer choice should fill the gap. If not, we have a Defender type that is much harder to prephrase. In this case, we can see that from the two conditionals given:
The premise: If census participation became voluntary, the participation rate would be much lower, or:
CPV
PR Down
and the conclusion: If census participation became voluntary, polls designed to discover the opinions of the national population would have less accurate results, or:
CPV
LAR
OP
The obvious way to tie the two together is by saying that whenever participation rate goes down, the polls are less accurate because the lower participation rate doesn't reflect true demographics as well as the results from a mandatory census. So that's the prephrase I would use to answer this question. Let's look at the answer choices:
(A): Out of scope, as we're not concerned with making a census the only way to get accurate demographic data, but with tying a voluntary census to being less accurate.
(B): Possibly appealing on first read, but in fact deals with irrelevant information. People who don't currently participate in the census still not participating if it's voluntary doesn't serve to make a voluntary census less accurate.
(C): Deals with distinguishing voluntary and mandatory censuses, which is the scope we are looking for. Contender.
(D): Irrelevant, we don't care about people who don't participate in opinion polls.
(E): Doesn't deal with what happens in a voluntary census, so it doesn't help us.
So we're left with only (C) by process of elimination, but we can still show it to be correct. Using the Assumption Negation technique, we can see that:
The group of people who would participate in a voluntary national census would
not differ in its demographic characteristics from the group of people who would participate in a mandatory national census
Polls designed to discover the opinions of the national population would
not have less accurate results
This works perfectly with the premises in the stimulus, showing it to be the correct answer.
Hope this helps!