What is the associated chi-square value?
Christopher Davis
Updated on February 09, 2026
A chi-square (χ2) statistic is a measure of the difference between the observed and expected frequencies of the outcomes of a set of events or variables. χ2 depends on the size of the difference between actual and observed values, the degrees of freedom, and the samples size.
Does chi square test give p-value?
In a chi-square analysis, the p-value is the probability of obtaining a chi-square as large or larger than that in the current experiment and yet the data will still support the hypothesis. It is the probability of deviations from what was expected being due to mere chance.
What would a chi square test of association significance value of P 0.05 suggest?
What would a chi square significance value of P 0.05 suggest *? That means that the p-value is above 0.05 (it is actually 0.065). Since a p-value of 0.65 is greater than the conventionally accepted significance level of 0.05 (i.e. p > 0.05) we fail to reject the null hypothesis.
How do you find the p-value of a test statistic?
If your test statistic is positive, first find the probability that Z is greater than your test statistic (look up your test statistic on the Z-table, find its corresponding probability, and subtract it from one). Then double this result to get the p-value.
How do you interpret a chi-square test?
Interpret the key results for Chi-Square Test for Association
- Step 1: Determine whether the association between the variables is statistically significant.
- Step 2: Examine the differences between expected counts and observed counts to determine which variable levels may have the most impact on association.
How do you interpret t test results?
Compare the P-value to the α significance level stated earlier. If it is less than α, reject the null hypothesis. If the result is greater than α, fail to reject the null hypothesis. If you reject the null hypothesis, this implies that your alternative hypothesis is correct, and that the data is significant.
What is p-value in statistics?
A p-value, or probability value, is a number describing how likely it is that your data would have occurred under the null hypothesis of your statistical test. They can also be estimated using p-value tables for the relevant test statistic. P-values are calculated from the null distribution of the test statistic.
What is the p value for chi square?
Key Results: P-Value for Pearson Chi-Square, P-Value for Likelihood Ratio Chi-Square. In these results, the Pearson chi-square statistic is 11.788 and the p-value = 0.019.
What do you need to know about chi square test?
A chi-square test will give us a p-value. The p-value will tell us whether our test results are significant or not. However, to perform a chi-square test and get the p-value, we require two pieces of information: (1) Degrees of freedom. That’s just the number of categories minus 1. (2) The alpha level (α). You or the researcher chooses this.
How to find chi square statistic in R?
To find the p-value that corresponds to a Chi-Square test statistic in R, you can use the pchisq () function, which uses the following syntax: lower.tail: If TRUE, the probability to the left of q in the Chi-Square distribution is returned.
When to reject the null hypothesis in chi square test?
If the p-value is larger than the significance level, you fail to reject the null hypothesis because there is not enough evidence to conclude that the variables are associated. Chi-Square Test Chi-Square DF P-Value Pearson…