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`.

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\\eq\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`.