QuestionDoes failing to reject the null hypothesis mean that the null hypothesis is true? Explain.
Choose the correct answer.
A. Yes. Failing to reject the null hypothesis means that there is enough evidence to reject it.
B. No. Failing to reject the null hypothesis means that there is enough evidence to reject it.
C. No. Failing to reject the null hypothesis means that there is not enough evidence to reject it.
D. Yes. Failing to reject the null hypothesis means that there is not enough evidence to reject it.
Studdy Solution
STEP 1
1. The null hypothesis is a statement that there is no effect or no difference.
2. Failing to reject the null hypothesis does not prove it to be true, only that there is insufficient evidence against it.
STEP 2
1. Understand the meaning of "failing to reject the null hypothesis."
2. Determine the implications of failing to reject the null hypothesis.
3. Choose the correct answer based on the implications.
STEP 3
Understand that "failing to reject the null hypothesis" means that the statistical test did not find strong enough evidence to conclude that the null hypothesis is false.
STEP 4
Recognize that failing to reject the null hypothesis does not confirm the null hypothesis is true, it only indicates a lack of evidence to disprove it.
STEP 5
Based on the understanding from the previous steps, choose the correct answer.
- Option A is incorrect because it incorrectly states that failing to reject means there is enough evidence to reject.
- Option B is incorrect because it contradicts itself.
- Option C is correct because it accurately states that failing to reject means there is not enough evidence to reject.
- Option D is incorrect because it incorrectly states that failing to reject means the null hypothesis is true.
The correct answer is:
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