Final answer:
The practical significance is evaluated by comparing the p-value to a significance level, typically 5%. A p-value lower than this threshold suggests a significant teacher impact, influencing the choice between statistical significance options provided.
Step-by-step explanation:
The practical significance of the provided statistical information determines the influence of the teacher on student results based on the significance level and p-value in a statistical hypothesis test. Given that statistical significance is typically assessed at a threshold of 5% (0.05), a p-value smaller than this threshold would lead us to reject the null hypothesis, suggesting that the teacher has an impact on the results. Since the problem context is not fully provided, we cannot choose an answer directly from options A to D, but can conclude that if the p-value were less than 0.05, then option D may be correct as it would indicate a significant difference attributable to the teacher's effects. On the other hand, if the p-value were greater than 0.05, we may consider option B, signifying that the teacher's impact is statistically insignificant.