AP STATISTICS: Ms. Jetmore 2015-2016
Syllabus Chapter 9: Testing a Claim
Day
M Jan 25
Topic
9.1 The Reasoning of Significance Tests, Stating
Hypotheses, Interpreting P-values, Statistical Significance
Assignment
p. 546; 1, 3, 5, 7, 9, 11, 13
Read 538-545
T Jan 26
FRQuesday
W Jan 27
9.1 Type I and Type II Errors, Planning Studies;
The Power of a Statistical Test
p. 547; 15, 19, 21, 23, 25, 27-30
Read 549-555
R Jan 28
9.2 Carrying Out a Significance Test, The One-Sample
z Test for a Proportion
p. 562; 41, 43, 45, 47
Read 556-561
F Jan 29
9.2 Two-Sided Tests, Why Confidence Intervals Give
More Information
p. 563; 49, 51, 53, 55, 57-60
Review Sec 9.1 & 9.2
M Feb 1
Review 9.1 and 9.2
Quiz 9.1 and 9.2 (30 points)
Read 565-577
T Feb 2
FRQuesday
W Feb 3
9.3 Carrying Out a Significance Test for  , The
One-Sample t Test, Two-Sided Tests and Confidence
Intervals
p. 588; 71, 73, 75
Read 577-586
R Feb 4
9.3 Inference for Means: Paired Data, Using Tests Wisely
p. 589; 77, 89, 94-97, 99-104
F Feb 5
Chapter 9 Review Part 1
Ch Review p. 594; 1, 2, 7, 8, 9
M Feb 8
Chapter 9 Review Part II
Ch Review p. 595; 3, 4, 5, 6
T Feb 9
FRQuesday
W Feb 10
Chapter 9 Test (50 points)
Last day for chapter 8 quiz retake
Tutoring is available most mornings 7:30-8:00am and after school as needed.
Additional assistance is available at: rhsjetmoremath.pbworks.com
Chapter Objectives
Section 9.1 – Significance Tests: The Basics
 State correct hypotheses for a significance test about a population proportion or mean.
 Interpret P-values in context.
 Interpret a Type I error and a Type II error in context, and give the consequences of each.
 Understand the relationship between the significance level of a test, P(Type II error), and power.
Section 9.2 – Tests about a Population Proportion
 Check conditions for carrying out a test about a population proportion.
 If conditions are met, conduct a significance test about a population proportion.
 Use a confidence interval to draw a conclusion for a two-sided test about a population proportion.
Section 9.3 – Tests about a Population Mean
 Check conditions for carrying out a test about a population mean.
 If conditions are met, conduct a one-sample t test about a population mean  .


Use a confidence interval to draw a conclusion for a two-sided test about a population mean.
Recognize paired data and use one-sample t procedures to perform significance tests for such data.
AP Exam Tips
 The conclusion to a significance test should always include three components: (1) an explicit
comparison of the P-value to a stated significance level OR an interpretation of the P-value as a
conditional probability, (2) a decision about the null hypothesis: reject or fail to reject H 0 , and (3) an

explanation of what the decision means in context.
When a significance test leads to a fail to reject H 0 decision, as in this example, be sure to interpret the
results as “we don’t have enough evidence to conclude H a .” Saying anything that sounds like you
believe H 0 is (or might be) true will lead to a loss of credit. And don’t write text-message-type
responses, like “FTR the H 0 .”


You can use your calculator to carry out the mechanics of a significance test on the AP exam. But
there’s a risk involved. If you just give the calculator answer with no work, and one or more of your
values is incorrect, you will probably get no credit for the “Do” step. We recommend doing the
calculation with the appropriate formula and then checking with your calculator. If you opt for the
calculator-only method, be sure to name the procedure (one-proportion z test_ and to report the test
statistic (z=1.15) and P-value (0.1243).
Remember: if you just give calculator results with no work, and one or more values are wrong, you
probably won’t get any credit for the “Do” step. We recommend doing the calculation with the
appropriate formula and then checking with your calculator. If you opt for the calculator-only method,
name the procedure (t test) and report the test statistic (t=-0.94), degrees of freedom (df=14), and Pvalue (0.1809).
Free-Response Questions from Previous AP Exams
Questions can be found on the AP Central Web site:
http://apcentral.collegeboard.com/apc/members/exam/exam_questions/8357.html.
Students should be able to answer all the free-response questions listed with material in this chapter. Questions
that contain content from this chapter but also require content from later chapters are listed in the last chapter
required to complete the entire question. Some of these problems we will do in class as warm-up problems.
You may do the others to help you understand the content from this chapter as well as to prepare for the AP
exam in May.
Year
Question
1998
1999
2001
2003
2003
2004
5
6
5
1
2
6
2005
4
2005B
4
2005B
6
2006B
2006B
4
6
2007
2008B
2008B
2009
4
4
6
6
2009B
2009B
4
5
Content
One-Sample z test for a proportion, Effect of nonresponse
One-sample t test for a mean, Paired t test, Displaying relationships with scatterplots
Paired t test
Constructing boxplots, Using boxplots to compare variability, Stating hypotheses
Stating hypotheses, Type I and II errors and consequences
One-sample t interval for a mean, Relationship between confidence intervals and
significance tests, One-sided confidence intervals
One-sample z test for a proportion, Paired t interval, Using a confidence interval to
assess significance
One-sample z test for a proportion, Paired t interval, Using a confidence interval to
assess significance
One-sample t test for a mean, Normal probability calculation, Multiplication rule for
independent events, Using simulation to estimate a probability
Paired t test
Stating hypotheses, Conditions for a one-sample z test for a proportion, Binomial
probability calculations, Significance tests, Calculating P-values and drawing
conclusions, Improving a study
Paired t test
Experimental design, Type I and II errors and consequences
Interpreting scatterplots, Paired t test, Creating a classification rule
Stating hypotheses, Relationship between mean and median, Testing for skewness,
Creating a test statistic
Random assignment in blocks, Increasing the power of a test
One-sample t test for a mean, Using simulation to test a standard deviation