11. Quiz: Types of Errors - Part II(b)

Types of Errors - Part II

In the following set of quizzes, you will be doing a recap and combination of the ideas that have been covered so far. Putting all of these pieces together is important for fully understanding hypothesis testing.

Consider we are interested in testing if the average revenue for a new marketing campaign is better than the previous marketing campaign.

We set up the null and alternative hypotheses in the following way:

H_0: \mu_n - \mu_o \leq 0

and

H_1: \mu_n - \mu_o > 0

where \mu_o is the mean revenue of the old campaign, and \mu_n is the mean revenue of the new campaign.

QUIZ QUESTION: :

Use the setup of the above null and alternative hypotheses to match the error statements to the correct errors.

ANSWER CHOICES:

Let's try another situation. Consider you are testing a new cancer drug to see if it reduces tumor sizes in patients. Let \mu_n be the average reduction in tumor size under the new drug. Let \mu_o be the average reduction in tumor size under the old drug.

We set up the null and alternative hypotheses in the following way:

H_0: \mu_n - \mu_o \leq 0

and

H_1: \mu_n - \mu_o > 0

First, let's map this situation to words.

QUIZ QUESTION: :

Use the setup of the above null and alternative hypotheses to match the error statements to the correct errors.

ANSWER CHOICES: