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ch. 13_part2_112310 - Discussion section 227 Chapter 13 Two...

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Discussion section 227 11/23/10 Chapter 13 – Two Variable Chi Square Example 1 A psychologist is interested in finding out about aggressive behavior in men and women under stress. He asked 60 men and 40 women whether they would hit another person of the same sex if that person became aggressive towards them. Test the null hypothesis with alpha of .05 that men and women do not differ in their aggressive behavior. Gender Aggressive Behavior Men Women Total Yes 38 32 70 No 22 8 30 Total 60 40 100 Step 1: H o : Gender and aggressive behavior are independent H 1 : H o is false Step 2: df = (c-1)(r-1) where “c” is the number of columns and “r” is the number of rows. df = (2-1)(2-1) = 1. Critical Chi Square value = 3.84 Step 3: Gender Aggressive Behavior Men Women Total Yes F o 38 32 70 F e 42 28 No F o 22 8 30 F e 18 12 Total 60 40 100 f e = (column total)(row total) Grand total f e (men, yes) = 70x60/100 = 42 f e (women, yes) = 70x40/100 = 28 The other two expected values can be computed by subtracting the expected values we found from the column totals.
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χ 2 = σ (௙
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