If $\theta$ Denotes the Parameter of Interest, and the Simplified Null Hypothesis

question 24

Multiple Choice

If $\theta$ denotes the parameter of interest, and the simplified null hypothesis has the form $H _ { o } : \theta = \theta _ { 0 } , \text { where } \theta _ { o }$ is a specified number called the "null value" of the parameter, then the alternative hypothesis will be

• A) \(H _ { \pm } : \theta > \theta _ { o }\)
• (so the implicit null hypothesis is \(\left. \theta \leq \theta _ { o } \right)\)
• B) \(H _ { \pm } : \theta < \theta _ { o }\)
• (so the implicit null hypothesis is \(\left. \theta \geq \theta _ { o } \right)\)
• C) \(H _ { \pm } : \theta \neq \theta _ { o }\)
• D) The alternative hypothesis will look like any of the above three assertions.
• E) The alternative hypothesis must be the assertion specified in (C).