Step by step
The question
Question: 70 runners from a club signed up for the study.
Half of them were chosen at random to stretch before each run.
The stretching group had fewer injuries.
What can the study say?
1 Two questions
To judge a study, we ask two questions.
How were the runners picked?
And how were the groups made?
2 How they were picked
The story says the runners signed up.
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 club.
So what we find is true only for people like these, not for the whole club.
3 How the groups were made
The runners were chosen at random to stretch before each run.
So: yes.
Chance made the groups, not the runners.
So the two groups are alike, except for the stretching.
So the difference comes from the stretching: the stretching causes it.
4 What the study can say
So the study can say: the stretching causes this, but only for runners like these.
5 Check
Let's check with the story.
The first sentence says: signed up.
That matches.
The second sentence says: chosen at random to stretch before each run.
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.