For a chi-squared distributed random variable with 12 degrees of freedom and a level of significance of 0.05, the chi-squared value from the table is 21.0261. The computed value of the test statistics is 25.1687. This will lead us to reject the null hypothesis.

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The computed value of the test statistics (25.1687) is greater than the chi-squared value from the table (21.0261) at a 0.05 level of significance, which means it falls in the rejection region. Therefore, we reject the null hypothesis.

For a Chi-Squared Distributed Random Variable with 12 Degrees of Freedom