Question

In the case of Confidence Intervals and Two-Tailed Hypothesis Tests, the decision rule states that: Reject H0 if the confidence interval ______ contain the value of the hypothesized mean mu0.

Answer 1

Answer: Reject $H_0$ if the confidence interval does not contain the value of the hypothesized mean $\mu_0$.

Step-by-step explanation:

In the case of Confidence Intervals and Two-Tailed Hypothesis Tests,

Null hypothesis : $H_0:\mu=\mu_0$  [There is no change in mean.]

Alternative hypothesis: $H_a:\mu\neq\mu_0$  [There is some difference.]

Since confidence intervals contain the true population parameter ( mean).

So, Decision rule states that

• Reject $H_0$ if the confidence interval does not contain the value of the hypothesized mean $\mu_0$.
• We do not reject $H_0$ if the confidence interval contains the value of the hypothesized mean $\mu_0$.