Which of the following are true? If false, explain briefly.

a. A very low P-value provides evidence against the null hypothesis.

b. A high P-value is strong evidence in favor of the null hypothesis.

c. A P-value above 0.10 shows that the null hypothesis is true.

d. If the null hypothesis is true, you can't get a P-value below 0.01

Question

Madison

Mathematics

8 October, 09:40

Which of the following are true? If false, explain briefly.

a. A very low P-value provides evidence against the null hypothesis.

b. A high P-value is strong evidence in favor of the null hypothesis.

c. A P-value above 0.10 shows that the null hypothesis is true.

d. If the null hypothesis is true, you can't get a P-value below 0.01

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Answers (1)

Know the Answer?

Augustus Floyd · Answer 1

a. A very low P-value provides evidence against the null hypothesis. This is true. This is because a very low P-value will eventually cause us to reject the null hypothesis.

Step-by-step explanation:

b. A high P-value is strong evidence in favor of the null hypothesis. This is false as a high P-value shows that the data is consistent with the null hypothesis, but it does not prove that the null hypothesis is true.

c. A P-value above 0.10 shows that the null hypothesis is true. This is false.

d. If the null hypothesis is true, you can't get a P-value below 0.01. This is false as we will surely get a P-value below 0.01 once in a hundred times.