- [Instructor] We're told that administrators at a school
are considering a policy change.
They survey a group of students, staff members,
and parents about whether or not they agree
with the new policy.
The following mosaic plot summarizes their results.
Which of the following statements can we justify
from the mosaic plot?
So pause this video and try to figure this out on your own.
Pick which of these statements can be justified
and there could be more than one based on this mosaic plot.
All right, now let's work through this together.
So before I even look at the choices,
let me see if I can interpret this.
So this mosaic plot,
what it does above and beyond a segmented bar chart,
is it gives us the width that shows us how many,
for example, students versus staff versus parents
were sampled or surveyed.
And it looks like more than half
of the people surveyed were students.
And then staff and parents seem similar.
In terms of who is agreeing with the policy,
so that's that light blue color.
It seems like students are not very likely to agree
with the policy.
It looks like staff is very likely to agree with the policy,
that the bulk of staff is agreeing with it.
And parents are kind of on both sides.
So let's see which of these statements are consistent
with what we just looked at.
Parents were the least likely to agree with the new policy.
No, that's not true.
The least likely to agree with the new policy
that's students, right over here.
They were definitely the least likely.
The lowest percentage of students
are agreeing with the policy.
So I don't like that choice.
More than half of the total responses came from students.
And that does look like the case.
'Cause if you view this entire width as the total responses,
it looks like the student width right over here,
that is more than half of it.
It looks like it's about 50 something percent
or even 60 percent.
So I like this choice right over here.
And then last but not least,
there were more total "No" responses from students
than from staff and parents combined.
So let's look at the no responses from students.
No, that's that darker blue color.
The no responses for students is this area right over here.
And then the nos, so I can, maybe I'll shade all of that in,
and then the no responses from staff
and parents combined, that is this area right over here.
And it does look like indeed the total no responses
from students, this area is much larger
than this area right over here.
So I like this choice as well.