Test whether the row and column variables are independent in the contingency table below. The critical value is with two degrees of freedom is x = 9.210. 30 12 20 422 210 520

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Test whether the row and column variables are independent in the contingency table below. The critical value with two degrees of freedom is \( \chi^2_R = 9.210 \).

| 30  | 12  | 20  |
|-----|-----|-----|
| 422 | 210 | 520 | 

This table is a contingency table with two rows and three columns, displaying the frequencies of certain variables. The task is to use the chi-square test for independence to determine whether there is a significant association between the row and column variables. We compare the calculated chi-square statistic to the critical value of 9.210 for two degrees of freedom to make this determination.
Transcribed Image Text:Test whether the row and column variables are independent in the contingency table below. The critical value with two degrees of freedom is \( \chi^2_R = 9.210 \). | 30 | 12 | 20 | |-----|-----|-----| | 422 | 210 | 520 | This table is a contingency table with two rows and three columns, displaying the frequencies of certain variables. The task is to use the chi-square test for independence to determine whether there is a significant association between the row and column variables. We compare the calculated chi-square statistic to the critical value of 9.210 for two degrees of freedom to make this determination.
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