Question

Consider a hypothesis test to decide whether the mean annual consumption of beer in the nation's capital is less than the national mean. Answer the following questions.
1. "The mean annual consumption of beer in the nation's captial is less than the national mean and the result of the hypothesis test does not lead to the conclusion that the mean annual consumption of beer in the nation's capital is less than the national mean" is a:________

a. Correct decision
b. Type II error
c. Type I error

2. "The mean annual consumption of beer in the nation's captial is less than the national mean and the result of the sampling leads to the conclusion that the mean annul consumption of beer in the nation's capital is less than the national mean" is a:_________

a. Correct decision
b. Type II error
c. Type I error

3. "The mean annual consumption of beer in the nation's captial is less than the national mean but the result of the sampling does not lead to the conclusion that the mean annual consumption of beer in the nation's capital is less than the national mean" is a:________

4. Correct decision
b. Type II error
c. Type I error

d. "The mean annual consumption of beer in the nation's captial is not less than the national mean and the result of the sampling does not lead to the conclusion that the mean annual consumption of beer in the nation's capital is less than the national mean" is a:________

a. Correct decision
b. Type II error
c. Type I error

Answer 1

Answer:

Step-by-step explanation:

Type I error occurs when the null hypothesis is rejected even when it is true.

Type II error occurs when the null hypothesis is not rejected even when it is false.

The null hypothesis is

The mean annual consumption = the national mean

The alternative hypothesis is

The mean annual consumption < the national mean

1) it is a type II error because the null hypothesis was not rejected even when it is false

2) it is a correct decision because the decision corresponds to the outcome

3) it is also a type II error

d) it is a correct decision because the null hypothesis is accepted when it is true