However, the most common use of the Goodness of Fit test is to test a null hypothesis that all of the categories are equally likely, so we’ll stick to that for our example. If we want our test to have...However, the most common use of the Goodness of Fit test is to test a null hypothesis that all of the categories are equally likely, so we’ll stick to that for our example. If we want our test to have significance level of α=.05 (that is, we are willing to tolerate a Type I error rate of 5%), then we have to choose our critical value so that there is only a 5% chance that \(\chi^2\) could get to be that big if the null hypothesis is true.
However, the most common use of the Goodness of Fit test is to test a null hypothesis that all of the categories are equally likely, so we’ll stick to that for our example. If we want our test to have...However, the most common use of the Goodness of Fit test is to test a null hypothesis that all of the categories are equally likely, so we’ll stick to that for our example. If we want our test to have significance level of α=.05 (that is, we are willing to tolerate a Type I error rate of 5%), then we have to choose our critical value so that there is only a 5% chance that \(\chi^2\) could get to be that big if the null hypothesis is true.
