1) Consider the following statements concerning the methodology of classical hypothesis testing:

A. The decision to reject the null hypothesis is made when the p-value is less than alpha.

B. The decision to reject H_o implies that the sample data used for the test must have been inappropriate and a different sample will always need to be re-selected.

C. When the level of significance is decreased for a test where H_a specifies that the value of the population parameter has decreased, then the critical value for the test also decreases.

only A is true

only A and B are true

only A and C are true

only B and C are true

all three statements are true

2) Which of the following is/are true?

Type I and Type II error probabilities are complements

Type I and Type II errors cannot both occur in one hypothesis test.

Type I and Type II error probabilities are conditional probabilities.

At least one of Type I or Type II errors must occur.