High School

Interpret the p-value from the following information:

p-value = 0.000, chi-squared = 38.1

Answer :

Final answer:

A p-value of 0.000 indicates strong evidence against the null hypothesis and would typically lead to its rejection, suggesting a statistically significant effect or difference.

Explanation:

The p-value in a statistical test is a measure of the evidence against the null hypothesis provided by the sample data.

A p-value of 0.000 suggests that, assuming the null hypothesis is true, the probability of observing a test statistic as extreme as the one calculated (in your case, chi = 38.1) is virtually zero. This would typically lead to a rejection of the null hypothesis, implying that the observed data are highly unlikely under the null hypothesis and that there is a significant effect or difference present.

In practical terms, a p-value of 0.000, which is usually reported as p < 0.001, means that there is a less than 0.1% chance of the result occurring by random variation alone. Typically, this would be considered very strong evidence against the null hypothesis in contexts such as chi-square tests or other hypothesis-testing frameworks.