We are about to test a hypothesis using data from a well-designed study.Which is/are true?
I.A small p-value would be strong evidence against the null hypothesis.
II.We can set a higher standard of proof by choosing alpha = 0.10 instead of 0.05.
III.Type I error is equal to our alpha level.
A)None
B)I only
C)II only
D)III only
E)I and III only

Question

Quizplus · Accepted Answer

I is true because a small p-value indicates that the observed data is unlikely to have occurred by chance if the null hypothesis were true, providing evidence against the null hypothesis.
II is true because choosing a smaller alpha level (e.g. 0.01) would increase the standard of proof, while choosing a larger alpha level (e.g. 0.10) would decrease the standard of proof. 
III is true because the type I error rate is equal to the chosen alpha level, which is the probability of rejecting the null hypothesis when it is actually true.

We Are About to Test a Hypothesis Using Data from a Well-Designed