In Step3 in core reading, it is written test will fail when G<k. And in last para on the same page, it is written test failed when no. of groups of +ve deviations is LESS THAN OR EQUAL TO critical value. My doubt here is whether test fails only when G<k or it also fails when G=k.
It's a test for overgraduation. So basically our null hypothesis is : our true underlying mortality rates corresponds to graduated rates. But the underlying concept is : We should have greater than or equal to groups of positive deviations than the no of positive deviations group obtained when signs are arranged in random order.If we have fewer positive deviations group than rates are overgraduated and fit is not good.