Question

use the p - value method to conduct the hypothesis test.
a waste management service attempts to design routes so that each of their trucks pick - up on average four tons of garbage or less. a garbage collector believes, however, that he averages picking up more than four tons of garbage per day and decides to perform a hypothesis test.
if the hypothesis test is performed at a 5% significance level and the resulting p - value is 0.04. your conclusion should be:
fail to reject ( h_0 ) because the p - value is less than 0.05.
reject ( h_0 ) because the p - value is less than 0.05.
accept ( h_0 ) because the p - value is less than 0.05.
fail to accept ( h_0 ) because the p - value is less than 0.05.

Explanation:

Step1: Recall hypothesis - testing rule

In hypothesis testing, if the p - value is less than the significance level ($\alpha$), we reject the null hypothesis ($H_0$). Here, the significance level $\alpha = 0.05$ and the p - value is $0.04$.
Since $0.04<0.05$.

Answer:

Reject $H_0$ because the p - value is less than $0.05$.