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.

Answer 2

If p = 0.50, the best conclusion is H0 (the null hypothesis) is definitely false.

What is H0 and H1?

H0 represents the null hypothesis. The null hypothesis states that there is no relationship between the population parameters.

H1 is the alternative hypothesis. It states that there is a relationship between the population parameters.

If the p-value that is less than or equal to 0.5 is statistically significant. It means that the null hypothesis should be rejected.

To learn more about the null hypothesis, please check: brainly.com/question/4454077