Chapter 9: Significance Tests AP Statistics
Outline 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
§ Significance test
§ Null hypothesis
§ Alternative hypothesis
§ P-value
§ Statistical significance
§ One-sided alternative
§ Two-sided alternative
§ α level
§ Matched pairs t procedure
§ Type I and Type II errors
§ Power (of a significance test)
Skills: 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 Tuesday Wednesday Thursday Friday
12 / 13 / 14 / 15 / 16Sec. 9.1 – Intro to Sig Tests
19
Sec. 9.1, cont. / 20
Sec. 9.1 -
Type I and II Error / 21
Sec. 9.2 – Significance Tests for proportions / 22 No late arrival
Sec. 9.2 - Two-sided tests / 23
Quiz 9.1 & 9.2
26
Sec. 9.3 – Significance Tests for means / 27
Sec. 9.3 – Matched Pairs
FRAPPY! / 28
Chapter 9 Review
Chapter 9: Significance Tests Test Pt. 1 – Multiple Choice / 1 / 2
Chapter 9: Significance Tests Test Pt. 2 - FRQs