Handout week 8

AP Stats course Teacher: Hans van der Zwan Handout week 8

Literature Starnes D. S., et al. (2015). The Practice of Statistics (5th ed.). New York: W. H. Freeman and Company/BFW.

Handout per lesson

Lesson 1 Sun 2022-02-20

No class today (rotation schedule)

Lesson 2 Mon 2022-02-21

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
3B	Determine parameters for probability distributions.	5.6	Sampling Distributions for Differences in Sample Proportions	UNC-3.N	Determine parameters of a sampling distribution for a difference in sample proportions
3C	Describe probability distributions.	5.6	Sampling Distributions for Differences in Sample Proportions	UNC-3.O	Determine whether a sampling distribution for a difference of sample proportions can be described as approximately normal.
3D	Construct a confidence interval, provided conditions for inference are met.	6.8	Confidence Intervals for the Difference of Two Proportions	UNC-4.K	Calculate an appropriate confidence interval for a comparison of population proportions.
3D	Construct a confidence interval, provided conditions for inference are met.	6.8	Confidence Intervals for the Difference of Two Proportions	UNC-4.L	Calculate an interval estimate based on a confidence interval for a difference of proportions
4B	Interpret statistical calculations and findings to assign meaning or assess a claim.	5.6	Sampling Distributions for Differences in Sample Proportions	UNC-3.P	Interpret probabilities and parameters for a sampling distribution for a difference in proportions
4B	Interpret statistical calculations and findings to assign meaning or assess a claim.	6.9	Justifying aClaim Based on a Confidence Intervalfor a Difference of Population Proportions	UNC-4.M	Interpret a confidence interval for a difference of proportions.
4C	Verify that inference procedures apply in a given situation.	6.8	Confidence Intervals for the Difference of Two Proportions	UNC-4.J	Verify the conditions for calculating confidence intervals for a difference between population proportions.
4D	Justify a claim based on a confidence interval.	6.9	Justifying aClaim Based on a Confidence Intervalfor a Difference of Population Proportions	UNC-4.N	Justify a claim based on a confidence interval for a difference of proportions.

Preparation for lesson

See homework previous lesson

Theory

Topic: CI for the difference between two proportions Book: pp. 612 - 619

Class Activities

discuss: Comparing differences between two (groups within a) population(s)
worksheet ws20220221: CI for difference between two population proportions
practice: exercise 10-11

Appendix at an AP exam

Homework

Study: worksheet WS20220221
Make: Exercise 10-11

Lesson 3 Tue 2022-02-22

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
1E	Identify an appropriate inference method for significance tests.	6.10	Setting Up a Test for the Difference of Two Population Proportions	VAR-6.I	Identify an appropriate testing method for the difference of two population proportions.
1F	Identify null and alternative hypotheses.	6.10	Setting Up a Test for the Difference of Two Population Proportions	VAR-6.H	Identify the null and alternative hypotheses for a difference of two population proportions.
3D	Construct a confidence interval, provided conditions for inference are met.	6.8	Confidence Intervals for the Difference of Two Proportions	UNC-4.K	Calculate an appropriate confidence interval for a comparison of population proportions.
3D	Construct a confidence interval, provided conditions for inference are met.	6.8	Confidence Intervals for the Difference of Two Proportions	UNC-4.L	Calculate an interval estimate based on a confidence interval for a difference of proportions
4B	Interpret statistical calculations and findings to assign meaning or assess a claim.	6.9	Justifying aClaim Based on a Confidence Intervalfor a Difference of Population Proportions	UNC-4.M	Interpret a confidence interval for a difference of proportions.
4C	Verify that inference procedures apply in a given situation.	6.8	Confidence Intervals for the Difference of Two Proportions	UNC-4.J	Verify the conditions for calculating confidence intervals for a difference between population proportions.
4C	Verify that inference procedures apply in a given situation.	6.10	Setting Up a Test for the Difference of Two Population Proportions	VAR-6.J	Verify the conditions for making statistical inferences when testing a difference of two population proportions.
4D	Justify a claim based on a confidence interval.	6.9	Justifying aClaim Based on a Confidence Intervalfor a Difference of Population Proportions	UNC-4.N	Justify a claim based on a confidence interval for a difference of proportions.

Preparation for lesson

See homework previous lesson

Theory

Topic: Significance Test for Difference between two Proportions Book: pp. 619-628

Class Activities

review: Sampling Distribution for Difference between two Proportions, incl. conditions to be met
worksheet ws20220222: Significance Test for difference between two proportions
practice: Exercise 10-21

Homework

Study ws20220221 and ws20220222
Study p. 620, Conditions for performing a significance test about a difference in proportions
Study the example on p. 622-623
Study the example on p. 625-626
Make Exercise 10-21

Lesson 4 Wed 2022-02-23

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
1E	Identify an appropriate inference method for significance tests.	6.10	Setting Up a Test for the Difference of Two Population Proportions	VAR-6.I	Identify an appropriate testing method for the difference of two population proportions.
1F	Identify null and alternative hypotheses.	6.10	Setting Up a Test for the Difference of Two Population Proportions	VAR-6.H	Identify the null and alternative hypotheses for a difference of two population proportions.
3E	Calculate a test statistic and find a p-value, provided conditions for inference are met	6.11	Carrying Out a Test for the Difference of Two Population Proportions	VAR-6.K	Calculate an appropriate test statistic for the difference of two population proportions.
4B	Interpret statistical calculations and findings to assign meaning or assess a claim.	6.11	Carrying Out a Test for the Difference of Two Population Proportions	DAT-3.C	Interpret the p-value of a significance test for a difference of population proportions.
4C	Verify that inference procedures apply in a given situation.	6.10	Setting Up a Test for the Difference of Two Population Proportions	VAR-6.J	Verify the conditions for making statistical inferences when testing a difference of two population proportions.
4E	Justify a claim using a decision based on significance tests.	6.11	Carrying Out a Test for the Difference of Two Population Proportions	DAT-3.D	Justify a claim about the population based on the results of a significance test for a difference of population proportions.

Preparation for lesson

See homework previous lesson

Theory

Topic: Comparing two proportions Book: section 10.1

Class Activities

discuss: exercise 10-21
practice: exercises 10-23 and 10-24
practice: 10-25 to 10-27

Homework

see Class Activities

Lesson 5 Thu 2022-02-24

Learning Objectives

Preparation for lesson

See homework previous lesson

Class Activities

Homework quiz
Practice: work on hw exercises to hand in on 27/2, AP stats exam 2017: 1 and 2

Homework

Homework to hand in

AP stats exam 2017: 1 and 2