A study was done where 54 potatoes where injected with bacteria that causes rot. The amounts injected were categorized as 1=low 2=medium and 3=high. After 5 days the diameter of the rotted portion on each potato was measured. What are the hypotheses being tested? Is it $\displaystyle H_o:$ the portion of rot in a potato is proportional to the amount of initial bacteria in the potato[/tex] and $\displaystyle H_a:$ the portion of rot in a potato is not proportional to the amount of initial bacteria in the potato[/tex]