The chi-square goodness-of-fit test

There is another chi-square based test usually called the chi-square goodness-of-fit test. We will not practice this test here as it’s far less commonly required/used than the chi-square independence test. In brief though, the chi-square goodness-of-fit test is a nonparametric test for single variables that is used to analyse whether the distribution of cases (units of observation) in a single categorical variable follows a known or hypothesised distribution. For example, whether the proportion of males and females in a sample follows the distribution of males and females in a given target population, or a distribution that is “hypothesised”, such as the proportion of males compared to females that we expect to have a certain characteristic/disease etc.

A good overview of the test with instructions of how to use it in SPSS can be found here: https://statistics.laerd.com/spss-tutorials/chi-square-goodness-of-fit-test-in-spss-statistics.php