What does a p-value that is less than the significance level indicate?

What does a p-value that is less than the significance level indicate?

• A. Accept the null hypothesis
• B. There is no significant evidence
• C. Reject the null hypothesis
• D. Repeat the experiment

Answer: (C)

A p-value that is less than the significance level indicates strong evidence against the null hypothesis. The significance level, often denoted as alpha (α), is a threshold set by researchers, typically at values such as 0.05 or 0.01. When the p-value falls below this threshold, it suggests that the observed data is sufficiently unlikely under the assumption that the null hypothesis is true. In practical terms, this means that the findings are statistically significant, leading to the conclusion that there is enough evidence to reject the null hypothesis. Rejecting the null hypothesis allows researchers to consider alternative explanations or theories, as the data suggest that the null may not adequately explain the observed patterns or effects. This forms the foundation of hypothesis testing, enabling advancements in various fields through informed decision-making based on statistical data.

A p-value that is less than the significance level indicates strong evidence against the null hypothesis. The significance level, often denoted as alpha (α), is a threshold set by researchers, typically at values such as 0.05 or 0.01. When the p-value falls below this threshold, it suggests that the observed data is sufficiently unlikely under the assumption that the null hypothesis is true.

In practical terms, this means that the findings are statistically significant, leading to the conclusion that there is enough evidence to reject the null hypothesis. Rejecting the null hypothesis allows researchers to consider alternative explanations or theories, as the data suggest that the null may not adequately explain the observed patterns or effects. This forms the foundation of hypothesis testing, enabling advancements in various fields through informed decision-making based on statistical data.