00:05
Okay, so in this problem, we have a claim about a population.
00:12
60 % of all the instructor's students feel enriched.
00:17
To test that claim, whether that is, you know, possibly a false claim or maybe it's a true claim, a sample of 64 students was randomly chosen, and those 64 students were asked in a survey, if they did feel enriched after the instructor's class.
00:41
34 out of those 64 students in the sample said they did feel enriched.
00:46
That's 53%.
00:47
Now, 53 % is not that far from the 60 % claim.
00:53
So at the moment, it seems like maybe the claim is possible that it's true, but maybe it's not.
01:01
So what we have to do is using this one case, categorical variable applet, we simulated 100 samples.
01:13
We actually only conducted one sample, which contains 64 students, but we're going to simulate conducting 100 samples of 64 students.
01:32
When we did this, okay, we're hypothesizing that the true proportion, the true percentage, of students that felt enriched is to 60 % that is claimed about the entire population.
01:52
So we are assuming that 60 % of all students feel enriched from the class.
01:59
And then we simulated 100 samples.
02:03
And we want to see, so here's a dot plot showing to 100 simulated samples.
02:08
Remember, in our actual sample, 30, 34 out of the 64 students said they felt enriched.
02:17
We think this might be a little low because this comes out to be 53%.
02:22
That's lower than the claim of 60%.
02:25
But let's see in our simulation of 100 simulated samples, how often we got as little as 34 students saying they felt enriched or maybe even less than 34 students.
02:39
So in the dot plot here showing the results of the 100 simulated samples, here's 34.
02:45
If you count these dots, the total number of dots, matter of fact, this appellate will do it for you.
02:52
We can count the number of dots less than or equal to 34...