Step by step
The question
Question: 60 patients from a hospital volunteered for the study.
Half of them were chosen at random to take a new medicine.
The medicine group got better faster.
What can the study say?
1 Two questions
To judge a study, we ask two questions.
How were the patients picked?
And how were the groups made?
2 How they were picked
The story says the patients volunteered.
They chose to join.
So: no, not at random.
People who join by themselves can be different from the others.
Careful!
A big group is not enough.
Volunteers may be different from the rest of the hospital.
So what we find is true only for people like these, not for the whole hospital.
3 How the groups were made
The patients were chosen at random to take a new medicine.
So: yes.
Chance made the groups, not the patients.
So the two groups are alike, except for the medicine.
So the difference comes from the medicine: the medicine causes it.
4 What the study can say
So the study can say: the medicine causes this, but only for patients like these.
5 Check
Let's check with the story.
The first sentence says: volunteered.
That matches.
The second sentence says: chosen at random to take a new medicine.
That matches too.
So the answer is right!
Let's look back.
First: two questions.
Then: how they were picked.
Then: how the groups were made.
Then: what the study can say.
Last: check.