A garbage collector believes that he averages picking up more than four tons of garbage per day. What is the null hypothesis for his statement?
A) $H _ { 0 } : \mu \leq 4$
B) $H _ { 0 } : \mu \geq 4$
C) $H _ { 0 } : \mu = 4$
D) $H _ { 0 } : \mu \neq 4$

Question

A garbage collector believes that he averages picking up more than four tons of garbage per day. What is the null hypothesis for his statement? 
A) $H _ { 0 } : \mu \leq 4$
B) $H _ { 0 } : \mu \geq 4$
C) $H _ { 0 } : \mu = 4$
D) $H _ { 0 } : \mu \neq 4$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) is a statement of no effect or no difference, and it is what the garbage collector is trying to disprove. Since he believes he picks up more than four tons, the null hypothesis would be that he picks up four tons or less, i.e., $H_0: \mu \leq 4$.

A Garbage Collector Believes That He Averages Picking Up More H0:μ≤4H _ { 0 } : \mu \leq 4H0​:μ≤4

A Garbage Collector Believes That He Averages Picking Up More $H _ { 0 } : \mu \leq 4$