Question

Which of the hypothesis tests listed below is a two-tailed test? Select all correct answers.

Select all that apply:

• H0:μ≤8.1, Ha:μ>8.1

• H0:μ≥23, Ha:μ<23

• H0:μ=5.3, Ha:μ≠5.3

• H0:μ=20.2, Ha:μ≠20.2

• H0:μ=4.1, Ha:μ≠4.1

Answer 1

A test is said to be two-tailed test if its region of rejection lies in both tails. For such case alternative hypothesis is always of not-equal type.

(A)

H₀: μ≤8.1, H_a: μ>8.1 is an one tailed (right tailed) test.

(B)

H₀: μ≥23, H_a: μ<23 is an one tailed (left tailed) test.

(C)

H₀: μ=5.3, H_a: μ≠5.3 is a two tailed test.

(D)

H₀: μ=20.2, H_a: μ≠20.2 is a two tailed test.

(E)

H₀: μ=4.1, H_a: μ≠4.1 is a two tailed test.