Asked by Hannah McCoy on May 28, 2024
Verified
If a null hypothesis is rejected at the 0.05 level of significance,it must be rejected at the 0.025 level.
Level Of Significance
A threshold or criterion for judging whether a statistical result is significant, commonly set at values like 0.05 or 0.01, indicating the risk of a Type I error.
Null Hypothesis
A default hypothesis that there is no significant difference or effect, tested against to determine the likelihood of the alternative hypothesis.
- Familiarize oneself with the criteria for null hypothesis reconsideration or confirmation contingent on the p-value and level of significance.
Verified Answer
CS
Crystal SinghMay 30, 2024
Final Answer :
False
Explanation :
Rejecting a null hypothesis at the 0.05 level of significance means that the probability of observing the data if the null hypothesis were true is less than 5%. However, to reject at the 0.025 level, this probability must be less than 2.5%. Therefore, rejecting at a higher level (0.05) does not automatically imply rejection at a lower level (0.025).
Learning Objectives
- Familiarize oneself with the criteria for null hypothesis reconsideration or confirmation contingent on the p-value and level of significance.