I was doing past papers for maths paper 3 and noticed that for hypothesis testing my method is always different when they want you to find if the mean has changed but I still get the answer correct. I know this isn't a fluke either because I've always gotten the correct answer with my method.
In the mark schemes they find the critical value and compare it to the Z-value of the new proposed mean, but i always find the probability of getting the new mean and compare it to the significance level.
Would they give me no method for this or is it ok?