APFIVE Chi-Square Test Conclusion
In a study with 3 categories, the observed and expected frequencies are presented in the table above. If the calculated chi-square statistic is $$2.5$$ with 2 degrees of freedom and the corresponding $$P$$-value is $$0.285$$, what is the appropriate conclusion at the $$\alpha=0.05$$ significance level?
TABLE:
| Category | Observed | Expected |
|---|---|---|
| A | 10 | 12 |
| B | 15 | 18 |
| C | 30 | 24 |
A
The test is inconclusive; further data is required.
B
There is strong evidence that the observed counts perfectly fit the distribution.
C
Fail to reject the null hypothesis; there is not sufficient evidence that the observed distribution differs from the theoretical distribution.
D
Reject the null hypothesis; the observed distribution significantly differs from the theoretical distribution.
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