3. Null hypotheses for an independent-measures t test
Which of the following null hypotheses is appropriate for an independent-measures t test?
H₀: μ₁ – μ₂ ≠ 0
H₀: μ₁ – μ₂ = 0
H₀: μ ≥ 0
H₀: μ < 4
Solution:
Correct option is
H₀: μ₁ – μ₂ = 0
Explanation:
In an independent-measures t test , we test for the difference between two population means.
i.e. μ₁ – μ₂
Valid signs in null hypothesis H0 are = , and
Valid signs in alternative hypothesis HA are , < and >
So for an independent-measures t test,
Null hypothesis is
H₀: μ₁ – μ₂ = 0
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