A new type of fertilizer is being tested on a plot of land in an orange grove, to see whether it increases the amount of fruit produced. The mean number of pounds of fruit on this plot of land with the old fertilizer was 409 pounds. Agriculture scientists believe that the new fertilizer may decrease the yield. State the appropriate null and alternate hypothesesa. The null hypothesis is ____________b. The alternate hypothesis is ___________

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]