Chapter 9: Significance Tests
Outline
AP Statistics
Mrs. Harrison
Essential Questions:
1. How is inferential statistics different from descriptive statistics?
2. Under what conditions should you use t-procedures?
3. What conditions are necessary to fulfill in order to do inference on proportions?
4. Why do you need hypotheses in a significance test?
5. Does it matter if your alternative is one- or two-sided?
6. How is “rejecting” a hypothesis different than proving it is false?
7. What is the power of a test, and how can you increase it?
Knowledge: You should be able to define, illustrate, or calculate the following:
 Statistical inference
 One-sided alternative
 Significance test
 Two-sided alternative
 Null hypothesis
 α level
 Alternative hypothesis
 Matched pairs t
 P-value
procedure
 Statistical significance
Skills:
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Type I and Type II
errors
Power (of a significance
test)
You should be able to:
State the null and alternative hypotheses for a significance test about a population parameter.
Interpret a P-value in context.
Determine if the results of a study are statistically significant and draw an appropriate conclusion using a
significance level.
Interpret a Type I and a Type II error in context, and give a consequence of each.
State and check the Random, 10%, and Large Counts conditions for performing a significance test about
a population proportion.
Perform a significance test about a population proportion.
Use a confidence interval to draw a conclusion for a two-sided test about a population parameter.
Interpret the power of a test and describe what factors affect the power of a test.
Describe the relationship among the probability of a Type I error, the probability of a Type II error, and
the power of a test.
State and check the Random, 10%, and Normal/Large Sample conditions for performing a significance
test about a population mean.
Perform a significance test about a population mean.
Perform a significance test about a mean difference using paired data.
Calendar:
Monday
15
Tuesday
Block
16
17/18
23
9.2 – Carrying Out a
Significance Test, OneSample z-test for p
1
9.3 – Inference for Means:
Paired data
24/25
9.2 – Two-sided Tests,
Confidence Intervals, Type
II Error and Power
2/3
FRAPPY!
Ch. 9 Review
Student Holiday
22
9.1 – Type I and Type II
Errors
29
9.3 - Significance Test for
µ, One-Sample t-test
Friday
19
9.1 –Intro to Significance
Tests
26
9.1 & 9.2 Quiz
4
Chapter 9: Significance
Tests TEST