A study reports a chi-square value of 9.21 with 2 degrees of freedom. Based on the chi-square distribution table (p<0.01 at χ²=9.21 for 2 df), the conclusion is:
- A The association is not statistically significant at 5% level
- B The result proves causation between the variables
- C The null hypothesis is accepted
- D The association is statistically significant at 1% level ✓
Explanation
For 2 degrees of freedom, the chi-square critical value at p=0.01 is 9.21. When the calculated χ² equals or exceeds this value, the result is statistically significant at the 1% significance level, meaning the null hypothesis of no association is rejected with <1% probability of a Type I error. Statistical significance does not imply causation. The null hypothesis is rejected, not accepted.
Reference: Park's Textbook of Preventive and Social Medicine, 27th ed.
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