Main content

## SAT

### Unit 10: Lesson 3

Problem solving and data analysis- Ratios, rates, and proportions — Basic example
- Ratios, rates, and proportions — Harder example
- Percents — Basic example
- Percents — Harder example
- Units — Basic example
- Units — Harder example
- Table data — Basic example
- Table data — Harder example
- Scatterplots — Basic example
- Scatterplots — Harder example
- Key features of graphs — Basic example
- Key features of graphs — Harder example
- Linear and exponential growth — Basic example
- Linear and exponential growth — Harder example
- Data inferences — Basic example
- Data inferences — Harder example
- Center, spread, and shape of distributions — Basic example
- Center, spread, and shape of distributions — Harder example
- Data collection and conclusions — Basic example
- Data collection and conclusions — Harder example

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# Data collection and conclusions — Basic example

Watch Sal work through a basic Data collections and conclusions problem.

## Video transcript

- [Tutor] A film historian
selected 120 people at random from a group of people who indicated that they liked
a certain American movie. The 120 people were shown an
Indian remake of the movie and then asked whether they
liked or disliked the remake. Of those surveyed, 70% said they liked the remake. Based on the survey results, which of the following conclusions about the remake is valid? Pause this video and see if
you can work through this before we do it together. All right, now let's work
through this together. So choice A says, most people
who like the original movie will like the remake. So can we make that conclusion? So let's see. They
selected 120 random people from a group who indicated
that they liked the movie. Okay. So these are,
this is a random sample of the folks who liked the movie, and we can see that 70%
of them liked the remake. So yes, it does seem
that most of the people who like the original
movie will like the remake based on this sample of 120. So I'm liking choice A, actually. Let's see, choice B, most people who dislike the original movie will dislike the remake. Well, can we make that conclusion? Because we haven't sampled
people who dislike the movie, and because we haven't sampled
people who dislike the movie, we haven't asked them whether they like or dislike the Indian remake. So we can rule this one out. So A is still holding up. At least 70% of people who watch movies will like the remake. Well, no, we can't make that conclusion because they didn't take a hundred, they didn't take a sample of 120 people from people who watch movies, they took 120 person sample from people who liked the
original American movie. So you can't make the 70% claim about all people who watch movies. So let's rule that out. And choice D, at least 70% of people
who watch Indian movies will like the remake. So that would be a different if to make this conclusion, you would have to randomly sample people who watch Indian movies and see what percentage
of them like the remake. That was not what was done here. So we could rule that one out as well. So we are liking choice A.