Match List - I with List - II.
| List - I | List - II | ||
|---|---|---|---|
| (A) | Left tailed test | (I) | \(H_0 : \mu = 50\) |
| (B) | Two tailed test | (II) | \(H_1 : \mu \gt 50\) |
| (C) | Null hypothesis | (III) | \(H_1 : \mu \lt 50\) |
| (D) | Right tailed test | (IV) | \(H_1 : \mu \ne 50\) |
Choose the correct answer from the options given below :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
The alternative hypothesis H1 decides where the rejection region lies: on the left, on the right, or on both sides.
(A) Left tailed test
This matches (III) \(H_1 : \mu \lt 50\): only values below 50 count against H0, so the rejection region is in the left tail.
(B) Two tailed test
This matches (IV) \(H_1 : \mu \ne 50\): values on either side of 50 count against H0.
(C) Null hypothesis
This matches (I) \(H_0 : \mu = 50\): the null hypothesis states the value being tested.
(D) Right tailed test
This matches (II) \(H_1 : \mu \gt 50\): the rejection region is in the right tail.