If a chi-square test produces a chi-square value of 7.83 with 4 degrees of freedom,

In what interval range does the P value fall?

Key Concepts

Chi-Square Test

The chi-square test is a statistical method used to determine if there is a significant association between categorical variables. It compares the observed frequencies in each category to the expected frequencies, which are calculated based on the null hypothesis. A higher chi-square value indicates a greater discrepancy between observed and expected values.

Degrees of Freedom

Degrees of freedom (df) in a chi-square test refer to the number of independent values that can vary in the analysis. It is calculated as the number of categories minus one for each variable being analyzed. In this case, with 4 degrees of freedom, it suggests that there are five categories being compared.

P-Value

The P-value is a measure that helps determine the significance of the results from a statistical test. It represents the probability of observing the test results, or something more extreme, under the null hypothesis. A lower P-value indicates stronger evidence against the null hypothesis, and it is typically compared to a significance level (e.g., 0.05) to decide whether to reject the null hypothesis.