Answer:
a) Null Hypothesis:[tex]\mu \geq 409[/tex]
b) Alternative hypothesis:[tex]\mu <409[/tex]
Step-by-step explanation:
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
On this case we are insterested on the claim that "Agriculture scientists believe that the new fertilizer may decrease the yield". So the system of hypothesis for this case would be:
a) Null Hypothesis:[tex]\mu \geq 409[/tex]
b) Alternative hypothesis:[tex]\mu <409[/tex]