A garbage collector believes that he averages picking up more than four tons of garbage per day. What is the alternative hypothesis for his statement?
The alternative hypothesis is a statement that is tested against the null hypothesis. The null hypothesis typically represents no effect or no difference. In this case, the null hypothesis would be that the garbage collector picks up an average of four tons of garbage per day (or less), represented as H₀: μ ≤ 4, where μ is the average tons of garbage picked up per day.
The alternative hypothesis, which the garbage collector believes to be true, is that he picks up more than four tons of garbage per day. This is represented as H₁: μ > 4. This is a one-sided (right-tailed) alternative hypothesis because it specifies that the amount of garbage picked up is greater than a certain value.