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To compute the Chi-square (χ²) statistic for the given data on work motivation scores across different managerial levels, we need to follow the steps of the Chi-square test of independence. This test is used in psychology to determine whether there is a significant association between two categorical variables—in this case, managerial level (junior vs. senior) and work motivation score level (high vs. average). The observed frequencies (O) are as follows: | | High | Average | Row Total | | --------------- | ---- | ------- | --------- | | Junior Managers | 10 | 5 | 15 | | Senior Managers | 6 | 4 | 10 | | Column Total | 16 | 9 | 25 | Step 1: Compute Expected Frequencies (E) Expected frequency ____ ___ ___ _______ ________ ______ ________.
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