Community Medicine (PSM) · Biostatistics (Measures of Central Tendency, Tests of Significance, Sampling)

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
Correct answer: 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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