in a hypothesis test for two meanswith independent samples i

in a hypothesis test for two means(with independent samples) if the confidence interval includes 0 than one will fail to reject the null ? true or false

Solution

In the two independent samples application with a continuous outcome, the parameter of interest in the test of hypothesis is the difference in population means, ₁-₂. The null hypothesis is always that there is no difference between groups with respect to means, i.e.,

H₀: ₁ - ₂ = 0.

If the confidence interval includes 0, then we fail to reject the null hypothesis definitely i.e. TRUE.