Statistics Unit 12

Big Idea:

Chi-Square Tests

Student Expectations:

Focus Standards

III. Anticipating Patterns: Exploring random phenomena using probability and Simulation

E. Chi-square distribution

IV. Statistical Inference: Estimating population parameters and testing hypotheses.

B. Tests of significance

6. Chi-square test for goodness of fit, homogeneity of proportions, and independence (one- and two-way tables)

Ongoing Standards

IV. Statistical Inference: Estimating population parameters and testing hypotheses.

A. Estimation (point estimators and confidence intervals)

1. Estimating population parameters and margins of error

2. Properties of point estimators, including unbiasedness and variability

3. Logic of confidence intervals, meaning of confidence level and confidence intervals, and properties of confidence intervals

B. Tests of significance

1. Logic of significance testing, null and alternative hypotheses; p-values; one-and two-sided tests; concepts of Type I and Type II errors; concept of power

Student Learning Targets:

• I will state appropriate hypotheses and compute expected counts for chi-square goodness of fit test
• I will calculate chi-square statistic, degrees of freedom, and P-Value with and without table
• I will perform a chi-square Goodness of Fit test
• I will perform a chi-square Test for homogeneity
• I will perform a chi-square Test for Independence
• I will choose the correct chi-square test
• I will determine the proper inference procedure to use in a given problem

Essential Questions:

• How can we test a series of proportions?
• How can we verify that two variables are independent?
• How do you find critical values for chi-square test?
• How is a test of significance done?

Extra Information:

Adopted Textbook:

District Grading Policy

Texas Gateway Online Resource Center