Consider the following statements concerning the methodology

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

A. The decision to not reject the null hypothesis indicates the value of the parameter being tested is as stated in the alternative hypothesis.
B. The choice as to which statement is referred to as the null hypothesis and which is the alternative hypothesis is generally quite arbitrary.
C. An alternative hypothesis which states that the population parameter does not take on the value stated in the null hypothesis implies that there are two components to the rejection region for the test.

only B is true

only C is true

only A and B are true

only A and C are true

all three statements are false

Solution

A is false as the decision to not reject the null hypothesis implies that the value of the parameter being tested may be as stated in the null hypothesis

B is false as the choice is not arbitary, and the null hypothesis is generally that of the previously standing assumption

C is true, as inequality means that it may be greater or lesser, thus implying that there are two components.