Lesson 12.2: Day 2: Are Taco Tongue and Evil Eyebrow independent? Is there an association between the Taco Tongue and the Evil Eyebrow? Below is the data for a random sample of 600 senior students. Do we have convincing evidence that the ability to do the Taco Tongue and Evil Eyebrow are associated? 1. Describe what it means for two events to be independent. (Chapter 5) 2. Calculate the expected counts. Observed: Expected: Yes No Yes No Evil Eyebrow Evil Eyebrow Total Evil Eyebrow Evil Eyebrow Total Yes Taco Tongue 180 300 480 Yes Taco Tongue 480 No Taco Tongue 20 100 120 No Taco Tongue 120 Total 200 400 600 Total 200 400 600 3. Do the data provide significant evidence that there is an association between the ability to Taco Tongue and Evil Eyebrow? Use a =0.05 STATE: Hypotheses: Significance level: PLAN: Name of procedure: chi-square test for independence Check conditions: DO: Specific Formula: Work: Picture: Test statistic: P-value: CONCLUDE