At the conventional 5% significance level, the null hypothesis appears…
2023
At the conventional 5% significance level, the null hypothesis appears plausible for which of the following p-values? A. 43% B. 0.27 C. 3% D. 0.43% Choose the correct answer from the options given below:
Answer: A. A and B only — ConceptA p-value measures how compatible the observed data are with the null hypothesis under the assumed test model. At significance level α, a p-value…
- A.
A and B only
- B.
B and C only
- C.
C and D only
- D.
B, C and D only
Show answer & explanation
Correct answer: A
Concept
A p-value measures how compatible the observed data are with the null hypothesis under the assumed test model.
At significance level α, a p-value greater than α means the data do not provide enough evidence to reject the null hypothesis, so it remains plausible.
Application
Use α = 5% = 0.05 and compare each listed p-value with this threshold.
A: 43% = 0.43, and 0.43 > 0.05.
B: 0.27 = 27%, and 0.27 > 0.05.
C: 3% = 0.03, and 0.03 < 0.05.
D: 0.43% = 0.0043, and 0.0043 < 0.05.
Cross-check
Only A and B lie above the 5% cutoff; C and D lie below it and would lead to rejection at this level.
Therefore, the required combination is A and B only.