SACWAY STUDENT HANDOUT 17 Lesson 7.4.2 Testing for Independence with Two-Way Tab

Question

SACWAY STUDENT HANDOUT 17 Lesson 7.4.2 Testing for Independence with Two-Way Tables TAKE IT HOME The following data were gathered by Mt. San Antonio College honors student Helentina Pang. regarding genders of sample members and whether fellow college students have ever been in a car accident. Gender Accident No Accident Female| 15 15 10 Male 20 Test the claim at 5% significance that auto accidents among college gender. students occur independently of Step 1: Determine the Hypotheses 1. What is the explanatory variable in this experiment? 2. What is the response variable? 3. Do you think that these variables are independent? 4. Give the null and alternative hypotheses for this test 0 2013 GUTH, YOUNG, AND NITTA A BRAINSTORM OF ALGEBRA AND ST ATISTICS, VERSION 2.O, SACWAY-STUDENT HANDOUT

Explanation / Answer

1. Explanatory Variable is Gender
2. Response variable is Car accidents
3. No, generally Gender depends on Accidents
4. H0: The auto accidents among the collge students occur independent of gender
H1: The auto accidents among the collge students occur not independent of gender

5.

6. All cell frequencies are > 5 so the criteria of chisquare test satiesfied

7.

8. Test Statistic, X^2: 1.7142
9. Degrees of freedom: 1
10. P-Value: 0.1904
11. Here P-value > alpha 0.05 so we accept H0
12. We reject H0
13. we conclude that The auto accidents among the collge students occur independent of gender

The expected frequencies are Accident No Accident Total Female 17.5 12.5 30 Male 17.5 12.5 30 Total 35 25 60

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