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AP Statistics 1.1 Statistical Inference 259 Views


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AP Statistics: Statistical Inference Drill 1, Problem 1. Which of the following statements is true?

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Transcript

00:02

Here's your shmoop du jour, brought to you by Interval Estimates.

00:06

Although honestly, if you're a daredevil looking to leap an interval on your bike... you're

00:10

going to want more than an estimate.

00:12

Which of the following statements is true? 

00:15

And here are the potential answers...

00:20

We're given four statements...

00:22

...and we need to find the one that ain't messing with us.

00:25

The first statement says that a confidence interval is a point estimate.

00:29

A confidence interval is an estimate of a range of values within which we would find

00:34

repeated sample means.

00:36

For example, a 90% confidence interval would mean that repeated sampling

00:42

would result in 90% of the sample means falling within the interval.

00:47

Therefore, it is not a point estimate. Rather, it is an interval estimate.

00:50

And Statement 1 is false.

00:53

Statement 2 says that a population proportion is a point estimate.

00:56

Again, we have to know what a population proportion is. It is the proportion of a set of data

01:01

that fulfills a certain criteria.

01:03

For example, the population proportion of people who eat fried ants at least once every

01:08

week out of 200 people in the population is a number we can actually calculate.

01:15

However, there's no estimation when we find this, so it isn't an estimate at all.

01:20

The first two statements are false, so we can eliminate choices A, B, and D.

01:25

Statement 3 says that a sample mean is a point estimate.

01:30

Remember that a sample mean is a single value that estimates the middle of a set of data.

01:35

That one value is a point. Therefore, this statement is true.

01:40

Finally, our last statement says that an interval estimate gives more detail about the uncertainty

01:43

of the estimate than a point estimate.

01:45

This is intuitively true, as simply seeing a mean or median

01:49

tells us nothing about the uncertainty of the data.

01:51

Whereas when we're given a confidence interval, we know a lot about how certain the data is.

01:57

A 99% confidence interval lets us know that 99% of sample means taken will fall within

02:02

the range of the interval.

02:03

Since both statement 3 and 4 are true, we know our answer is (E).

02:07

As in, "Evil Knievel's big moment."

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