Handout week 10

AP Stats course Teacher: Hans van der Zwan
Handout week 10

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 2022-03-06

Learning Objectives

Preparation for lesson

Prepare for test on Chapter 10

Class Activities

Test Chapter 10

Lesson 2 Mon 2022-03-07

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
1E	Identify an appropriate inference method for significance tests.	8.2	Setting Up a Chi-Square Goodness of Fit Test	VAR-8.C	Identify an appropriate testing method for a distribution of proportions in a set of categorical data.
1F	Identify null and alternative hypotheses.	8.2	Setting Up a Chi-Square Goodness of Fit Test	VAR-8.B	Identify the null and alternative hypotheses in a test for a distribution of proportions in a set of categorical data.
3A	Determine relative frequencies, proportions, or probabilities using simulation or calculations.	8.2	Setting Up a Chi-Square Goodness of Fit Test	VAR-8.D	Calculate expected counts for the chi-square test for goodness of fit.
3C	Describe probability distributions.	8.2	Setting Up a Chi-Square Goodness of Fit Test	VAR-8.A	Describe chi-square distributions.
4C	Verify that inference procedures apply in a given situation.	8.2	Setting Up a Chi-Square Goodness of Fit Test	VAR-8.E	Verify the conditions for making statistical inferences when testing goodness of fit for a chi-square distribution.

Preparation for lesson

See homework previous lesson

Theory

Topic: Chi-Square Goodness of Fit Test Book: Section 11-1

Class Activities

Review test Chapter 10
Repeat: One Proportion Z-test
Discuss: a different approach for a 2-sided one-proportion z-test, \(\chi^2\)-GOF test
Worksheet: WS20220307 including exercises 11-2, 11-4, 11-6

Homework

Lesson 3 Tue 2022-03-08

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
1E	Identify an appropriate inference method for significance tests.	8.2	Setting Up a Chi-Square Goodness of Fit Test	VAR-8.C	Identify an appropriate testing method for a distribution of proportions in a set of categorical data.
1F	Identify null and alternative hypotheses.	8.2	Setting Up a Chi-Square Goodness of Fit Test	VAR-8.B	Identify the null and alternative hypotheses in a test for a distribution of proportions in a set of categorical data.
3A	Determine relative frequencies, proportions, or probabilities using simulation or calculations.	8.2	Setting Up a Chi-Square Goodness of Fit Test	VAR-8.D	Calculate expected counts for the chi-square test for goodness of fit.
3C	Describe probability distributions.	8.2	Setting Up a Chi-Square Goodness of Fit Test	VAR-8.A	Describe chi-square distributions.
3E	Calculate a test statistic and find a p-value, provided conditions for inference are met	8.3	Carrying Out a Chi-Square Test for Goodness of Fit	VAR-8.F	Calculate the appropriate statistic for the chi-square test for goodness of fit.
3E	Calculate a test statistic and find a p-value, provided conditions for inference are met	8.3	Carrying Out a Chi-Square Test for Goodness of Fit	VAR-8.G	Determine the p-value for chi-square test for goodness of fit significance test.
4B	Interpret statistical calculations and findings to assign meaning or assess a claim.	8.3	Carrying Out a Chi-Square Test for Goodness of Fit	DAT-3.I	Interpret the p-value for the chi-square test for goodness of fit.
4C	Verify that inference procedures apply in a given situation.	8.2	Setting Up a Chi-Square Goodness of Fit Test	VAR-8.E	Verify the conditions for making statistical inferences when testing goodness of fit for a chi-square distribution.
4E	Justify a claim using a decision based on significance tests.	8.3	Carrying Out a Chi-Square Test for Goodness of Fit	DAT-3.J	Justify a claim about the population based on the results of a chi-square test for goodness of fit.

Preparation for lesson

See homework previous lesson

Theory

Topic: \(\chi^2\) GOF test Book: Section 11.1

Class Activities

Finish Worksheet WS20220307 including exercises 11-2, 11-4, 11-6
Discuss Summary Section 11.1, p. 692
Exercises: 11-9, 11-11, 11-18, 11-19 to 11-22

Homework

Lesson 4 Wed 2022-03-09

Learning Objectives

SKILL_ID	SKILL	TOPIC_ID	TOPIC	LO_ID	LEARNING_OBJECTIVE
3E	Calculate a test statistic and find a p-value, provided conditions for inference are met	8.3	Carrying Out a Chi-Square Test for Goodness of Fit	VAR-8.F	Calculate the appropriate statistic for the chi-square test for goodness of fit.
3E	Calculate a test statistic and find a p-value, provided conditions for inference are met	8.3	Carrying Out a Chi-Square Test for Goodness of Fit	VAR-8.G	Determine the p-value for chi-square test for goodness of fit significance test.
4B	Interpret statistical calculations and findings to assign meaning or assess a claim.	8.3	Carrying Out a Chi-Square Test for Goodness of Fit	DAT-3.I	Interpret the p-value for the chi-square test for goodness of fit.
4E	Justify a claim using a decision based on significance tests.	8.3	Carrying Out a Chi-Square Test for Goodness of Fit	DAT-3.J	Justify a claim about the population based on the results of a chi-square test for goodness of fit.

Preparation for lesson

See homework previous lesson

Theory

Topic: \(\chi^2\) GOF test Book: Section 11.1

Class Activities

Exercises: 11-9, 11-11, 11-18, 11-19 to 11-22

Homework

Lesson 5 Thu 2022-03-10

First day of spring break