Question

In an experiment you do a chi-square test comparing observed and expected progeny. Your calculated chi square is 0.375. With 1 degree of freedom, this corresponds to a probability between 0.9 and 0.5. What does this mean

Answer 1

It mean that the observed progeny is similar than the expected progeny. There is no a relationship between the categorical variables.

Explanation:

The Chi-squared test is used to test the relationship between categorical variables. A categorical variable is a non-numerical variable. The null hypothesis of the Chi-squared test is that categorical variables are independent; it means that the frequencies are not dependent on the variable. It is important to know that the Chi-squared test does not measure causality, it only measures the relationship. To reject the null hypothesis, you usually need a probability lower than 0.05, but in this case, the probability was way higher than 0.05, it was between 0.5 and 0.9.