If the chi-square probability is < 0.05, then _____

If the chi-square probability is < 0.05, then _____

• A. The null hypothesis is rejected.
• B. The null hypothesis is accepted.
• C. Confidence interval narrows.
• D. The results are due to chance.

Answer: (A)

When the chi-square p-value is less than 0.05, you reject the null hypothesis at the 5% significance level. This means the observed association or difference is unlikely to have occurred by random chance if the null assumption were true, providing evidence against the null. It does not prove the alternative hypothesis is true, just that the data are inconsistent with the null under this threshold. The other statements don’t fit: accepting the null would be wrong when p is this small; confidence interval width isn’t determined by this p-value alone; and saying the results are due to chance isn’t correct—a low p-value suggests the observed result is unlikely under the null, not that it’s simply due to chance.

When the chi-square p-value is less than 0.05, you reject the null hypothesis at the 5% significance level. This means the observed association or difference is unlikely to have occurred by random chance if the null assumption were true, providing evidence against the null. It does not prove the alternative hypothesis is true, just that the data are inconsistent with the null under this threshold. The other statements don’t fit: accepting the null would be wrong when p is this small; confidence interval width isn’t determined by this p-value alone; and saying the results are due to chance isn’t correct—a low p-value suggests the observed result is unlikely under the null, not that it’s simply due to chance.