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 / 16
Sec. 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