For which of the following p-value of a test statistic, a null hypothesis is…
2023
For which of the following p-value of a test statistic, a null hypothesis is likely to be rejected?
(A). 0.38 of 2%
(B). 38%
(C). 2%
(D). 0.46
Choose the correct answer from the options given below:
- A.
(A) and (B) only.
- B.
(A) and (C) only.
- C.
(B) and (C) only.
- D.
(B) and (D) only.
Attempted by 9 students.
Show answer & explanation
Correct answer: B
A null hypothesis is rejected when the p-value is less than the significance level, commonly set at 0.05 (5%).
For option (C), 2% is less than 5%, indicating rejection.
For option (A), '0.38 of 2%' implies 0.38 multiplied by 2%, which equals 0.76%.
This is also less than 5%, indicating rejection.
Options (B) at 38% and (D) at 0.46 are greater than the significance level, so they do not support rejection.