I have a sample dateset consists two variables as "Score"(independent continuous) consists score of students in maths and school(dependent categorical)having 3 categories as "S1","S2","S3". I'd perform ANOVA test so null hypothesis would be that means of all samples are equal(as I've studied). The means in above mentioned samples comes as:
S1=80.5; S2=28.5; S3=60.2.
As, means for all samples are not equal so null hypothesis got rejected. Now, my question is:-
a) what does it mean by rejecting null hypothesis? what would be the conclusion?
b) Does rejecting a null hypothesis also decides that the independent variable is not a important feature for modelling and need to be removed?