Question

Using an appropriately designed and analyzed study, a researcher observes a p-value of 0.010000. Consider the following propositions: PROPOSITION ONE: At the 5% significance level, the appropriate decision is to reject the null hypothesis; PROPOSITION TWO: At the 1% significance level, the appropriate decision is to reject the null hypothesis.
a. PROPOSITION ONE is true and PROPOSITION TWO is true
b. PROPOSITION ONE is true and PROPOSITION TWO is false
c. PROPOSITION ONE is false and PROPOSITION TWO is true
d. PROPOSITION ONE is false and PROPOSITION TWO is false
e. None of the above

Answer 1

Answer: a.

a. PROPOSITION ONE is true and PROPOSITION TWO is true

b. PROPOSITION ONE is true and PROPOSITION TWO is false

c. PROPOSITION ONE is false and PROPOSITION TWO is true

d. PROPOSITION ONE is false and PROPOSITION TWO is false

e. None of the above