Question

If P = 0.50, which is the best conclusion? a) H0 is definitely false. b) H0 is definitely true. c) There is a 50% probability that H0 is true. d) H0 is plausible, and H1 is false. e) Both H0 and H1 are plausible.

Answer 1

Answer: option A

Step-by-step explanation: We can only make a conclusion regarding this question by picking a level of significance.

Hence I will assume a 5% level of significance, that's α = 0.05.

If p > α, it simply means that we have a high chance of committing a type 1 error (because α is the probability of committing a type 1 error), hence we reject the null hypothesis meaning it is wrong.

If p < α, it means that we have a very low chance of committing a type 1 error hence we accept the null hypothesis because it is right.

Note even if we decide to try any reasonable value of α, we will come to the same conclusion made above.