The following argument is logically flawed. The author's goal was to craft the argument so that the conclusion follows logically from Premises 1 and 2 and so that both premises are necessary to draw the conclusion.
Premise 1: Every respondent to our survey who
reported feeling satisfied also reported being in a good mood.
Premise 2: Every respondent to our survey who
reported having a central goal also
reported being in a good mood.
Conclusion: Therefore, assuming all of the reports were accurate and complete, every respondent to our survey who
felt satisfied also
had a central goal.
Select for
Boldface A and for
Boldface B two of the boldface phrases in the argument such that Boldface A occurs earlier in the argument than Boldface B, and exchanging the positions of those two phrases in the argument would make it so the argument fulfills the author's goal. Make only two selections, one in each column.

We are asked to pick two of the five boldfaced phrases and swap them so that the conclusion follows logically from both premises and both premises are necessary.
We are given this argument:
Premise 1: Every respondent to our survey who reported feeling satisfied also reported being in a good mood.
Premise 2: Every respondent to our survey who reported having a central goal also reported being in a good mood.
Conclusion: Therefore, assuming all of the reports were accurate and complete, every respondent to our survey who felt satisfied also had a central goal.
This argument is not correct. Both premises talk about respondents who
reported being in a good mood, so each premise connects a different idea to the same group. In logical terms, Premise 1 says that the group who
reported feeling satisfied (small circle 1) lies inside the group who
reported being in a good mood (big circle). Premise 2 says that the group who
reported having a central goal (small circle 2) also lies inside the same big circle of those who
reported being in a good mood.
However, the conclusion says that every respondent who
felt satisfied also
had a central goal, which means that small circle 1 should lie inside small circle 2. Since both small circles are only inside the same larger circle and do not overlap necessarily, one is not inside the other. Therefore, the conclusion does not logically follow.
To fix this, we must connect satisfaction and goal through one continuous chain. That connection appears if we swap
reported having a central goal and
reported being in a good mood.
After the swap, the argument becomes:
Premise 1: Every respondent to our survey who reported feeling satisfied also reported being in a good mood.
Premise 2: Every respondent to our survey who reported being in a good mood also reported having a central goal.
Conclusion: Therefore, assuming all of the reports were accurate and complete, every respondent to our survey who felt satisfied also had a central goal.
Now the logic works. The first premise places
reported feeling satisfied (small circle) inside
reported being in a good mood (middle circle). The second premise places
reported being in a good mood (middle circle) inside
reported having a central goal (big circle).
This creates a clear nesting of circles: small circle inside middle circle, and middle circle inside big circle. Together they show that the group of respondents who
reported feeling satisfied is entirely inside the group who
reported having a central goal.
With the assumption that all reports are accurate, this supports the conclusion that everyone who
felt satisfied (small circle) also
had a central goal (big circle). Both premises are necessary, because removing either one breaks the nesting and the conclusion no longer follows.
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