Question

identify the type ii error.
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.
identify a type ii error in the context of this hypothesis test.
concluding that the garbage collector picks up on average more than 4 tons of garbage per day when, in fact, he doesnt.
not concluding that the garbage collector picks up on average more than 4 tons of garbage per day when, in fact, he does.
concluding that the garbage collector picks up on average 4 tons of garbage per day when, in fact, he picks up more.
not concluding that the garbage collector picks up on average 4 tons of garbage per day when, in fact, he does.

Explanation:

Step1: Recall the definition of Type II error

A Type II error is failing to reject a false null hypothesis.

Step2: Analyze each option

• Option 1: Concluding that the garbage collector picks up on average more than 4 tons of garbage per day when, in fact, he doesn't. This is a Type I error (rejecting a true null hypothesis).
• Option 2: Not concluding that the garbage collector picks up on average more than 4 tons of garbage per day when, in fact, he does. This is a Type II error (failing to reject a false null hypothesis).
• Option 3: Concluding that the garbage collector picks up on average 4 tons of garbage per day when, in fact, he does. This is a correct decision.
• Option 4: Not concluding that the garbage collector picks up on average 4 tons of garbage per day when, in fact, he does. This is also a correct decision.

Answer:

Concluding that the garbage collector picks up on average 4 tons of garbage per day when, in fact, he does.