How do I calculate a chi-square test?

How do I calculate a chi-square test?

To calculate a chi-square test, you need to follow these steps: 1. Define your hypotheses. 2. Create a contingency table. 3. Calculate the expected frequencies. 4. Use the formula: χ² = Σ((O - E)² / E), where O is the observed frequency and E is the expected frequency.

What do the observed and expected frequencies mean?

Observed frequencies (O) are the actual counts you collect from your data, while expected frequencies (E) are the counts you would expect if there were no association between the variables.

Can you give me an example of a chi-square test?

Sure! Let's say you survey 100 people about their favorite fruit: 40 like apples, 30 like bananas, and 30 like cherries. You can set up a chi-square test to see if there's a preference among these fruits.

How do I interpret the results of the chi-square test?

After calculating the chi-square statistic, compare it to a critical value from the chi-square distribution table based on your degrees of freedom. If your statistic exceeds the critical value, you reject the null hypothesis, indicating a significant association.