12.1  12.2 Test
Chapter 12  Day 8
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Questions to be Sure to Include

A multiple choice question that asks students to decide which significance test is appropriate (the correct answer doesn’t have to be a chisquare test!).

A multiple choice question where students have to identify the correct null hypothesis for a chisquare test (pick one of the three tests).

A multiple choice question which gives a twoway table and asks for a test statistic and Pvalue only (students should use their calculator for this.)

On the free response, you should have two questions. One question asking students to do a chisquare goodness of fit test, and one question asking students to do chisquare test with a twoway table (homogeneity or independence). Don’t give students a chisquare test with more than 6 components of the test statistic. Use old AP questions if possible.

Consider having a follow up question part (b) for each chisquare test. Here are some options for your followup question:

What is the biggest reason for such a large chisquare test statistic? (Follow up analysis)

Given your conclusion in part (a), which kind of mistake—a Type I error or a Type II error—could you have made? Explain what this mistake would mean in context.

Why do we check the (random, 10%, Large Counts) condition?

Ask students if the significance test reveals a causal relationship. If the data comes from an observational study, then we cannot infer causation.

Tips to Give Your Students

Close reading and careful writing are critical to your success this year.

Be sure to answer all parts of each question.

Remember the context used in class to introduce each type of chisquare test (M&Ms, gummy bears, favorite class). This will help you decide which test is appropriate when reading a question.

For each type of chisquare test, know how many populations and how many variables are being measured.

Always do a follow up analysis for test statistic that is significant!