Significance Tests

What a p-value does and does not say.

11 problems · about 26 minutes · AP Statistics 6.7, 7.3

NameDate

Figure — use these to answer the problems

A p-value lives between 0 and 1. Here the scale is in tenths.

p-value in tenths1

Figure 1

Straightforward practice. Get the method working first.

4 problems

The same ideas with more to keep track of.

3 problems

Is the p-value the probability the null is true? 1 for yes, 0 for no.
Answer
6
Order the steps of a significance test.
Write 1 to 4 in the boxes to put these in order.
- State the hypotheses
- Check the conditions
- Compute the test statistic and p-value
- State a conclusion in context
A Type I error rejects a true null. At level 0.05, what is its probability?
Answer

Mixed problems. Work out what kind of question it is before you start.

4 problems

Lowering the level from 0.05 to 0.01 makes rejecting which? 1 for easier, 2 for harder.
Answer
p = 0.001 at level 0.05. Reject? 1 for yes, 0 for no.
Answer
The Decision
p = 0.03 at level 0.05. Reject the null? 1 for yes, 0 for no.
Answer
The Other Way
p = 0.30 at level 0.05. Reject the null? 1 for yes, 0 for no.
Answer