State hypothesis for 2k factorial design

[Deathfish]

How to state null and alternative hypothesis for 2k factorial design of two factors?

The Attempt at a Solution

All i can think of right now is

null hypothesis - Factor A effects not significant.
alternative hypothesis - Factor A effects significant

null hypothesis - Factor B effects not significant.
alternative hypothesis - Factor B effects significant

null hypothesis - interaction effects not significant.
alternative hypothesis - interaction effects significant

i think it is abit too simplistic, so i want to find out if there are other ways to express this or different notation.

 

[Deathfish]

any help?

 

[Deathfish]

i need some way to express it in terms like
Ho : τ1 = τ2 = τ3 ... τa =0
Ha : at least one τi ≠ 0
however i need equation that is suitable for this specific purpose

is it just Ho : τ1 = τ2=0
Ha : at least one τi ≠ 0