Chi-Square Test Conclusion

Question

The table shows the observed and expected frequencies for a study with three categories. A chi-square test resulted in a test statistic of $$2.5$$ with 2 degrees of freedom and a $$P$$-value of $$0.285$$. Based on a significance level of $$\alpha=0.05$$, what is the appropriate conclusion?

| Category | Observed | Expected |
|----------|----------|----------|
| A        | 10       | 12       |
| B        | 15       | 18       |
| C        | 30       | 24       |

Accepted Answer

Fail to reject the null hypothesis; there is not sufficient evidence that the observed distribution differs from the theoretical distribution.

Answer

Reject the null hypothesis; the observed distribution significantly differs from the theoretical distribution.

Answer

The test is inconclusive; further data is required.

Answer

There is strong evidence that the observed counts perfectly fit the distribution.

Chi-Square Test Conclusion

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