Final answer:
E) usually when the probability value is less than 0.05. In a Chi-square analysis, the null hypothesis is rejected when the p-value is less than 0.05.
Step-by-step explanation:
When conducting a Chi-square analysis, the general condition that causes one to reject the null hypothesis is when the probability value (p-value) is less than 0.05. The p-value represents the likelihood of obtaining the observed test statistic (the chi-square value) if the null hypothesis is true. If the p-value is smaller than the significance level of 0.05, it provides significant evidence to suggest that the null hypothesis is false and should be rejected in favor of the alternative hypothesis.