The following data are part of a study on violent victimization of women and men
ID: 3222387 • Letter: T
Question
The following data are part of a study on violent victimization of women and men 18-64 years old. May we conclude on the basis of these data that victimization status and gender are independent? Run the test at a 5% level of significance. 1) Write out the appropriate null hypothesis and the alternative hypothesis; 2) Calculate the test statistic; 3) Give your conclusion including a comparison to alpha or the critical value.
No Victimization
Partner
Nonpartner
Multiple
Total
Women
611
34
16
18
679
Men
308
10
17
10
345
Total
919
44
33
28
1024
No Victimization
Partner
Nonpartner
Multiple
Total
Women
611
34
16
18
679
Men
308
10
17
10
345
Total
919
44
33
28
1024
Explanation / Answer
Decision: Do not reject ho
Gender and victimization status are independent.
Chi-square Contingency Table Test for Independence No victimization Partner No partner Multiple Total Women Observed 611 34 16 18 679 Expected 609.38 29.18 21.88 18.57 679.00 O - E 1.62 4.82 -5.88 -0.57 0.00 (O - E)² / E 0.00 0.80 1.58 0.02 2.40 Men Observed 308 10 17 10 345 Expected 309.62 14.82 11.12 9.43 345.00 O - E -1.62 -4.82 5.88 0.57 0.00 (O - E)² / E 0.01 1.57 3.11 0.03 4.72 Total Observed 919 44 33 28 1024 Expected 919.00 44.00 33.00 28.00 1024.00 O - E 0.00 0.00 0.00 0.00 0.00 (O - E)² / E 0.01 2.37 4.69 0.05 7.12 7.12 chi-square 3 df .0680 p-valueRelated Questions
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