Asked by Rusul Hamad on Apr 30, 2024
Verified
When the p-value is used for hypothesis testing, the null hypothesis is rejected if
A) p-value 
α.
B) α < p-value.
C) p-value = 1 - α/2.
D) p-value = 1 - α.
P-value
A statistic that measures the probability of obtaining an observed result, or more extreme, under the assumption that the null hypothesis is true.
Null Hypothesis
A statement in statistics that proposes there is no significant difference or effect, and any observed difference is due to sampling or experimental error.
Hypothesis Testing
A statistical method used to determine whether there is enough evidence in a sample of data to infer that a certain condition holds for the entire population.
- Acknowledge the correlation between the level of significance (α), p-values, and the choice to reject or fail to reject the null hypothesis.
Verified Answer
JP
Janice PhillipsMay 01, 2024
Final Answer :
A
Explanation :
The null hypothesis is rejected when the p-value is less than the level of significance (α) set for the hypothesis test. Therefore, if α is set at 0.05 and the p-value computed from the test is 0.04, the null hypothesis would be rejected since 0.04 < 0.05. Option A is the only choice that accurately depicts that the null hypothesis is rejected when p-value<α.
Learning Objectives
- Acknowledge the correlation between the level of significance (α), p-values, and the choice to reject or fail to reject the null hypothesis.