Question

5 multiple choice 4 points select the most appropriate response. which type of alternative hypothesis would have the critical region shown in the figure below? ( h_{1}: mu
eq k ) ( h_{1}: mu<k ) ( h_{1}: mu>k ) ( h_{1}: mu=k )

Explanation:

Step1: Recall the types of alternative hypotheses

• \(H_1:\mu

eq k\) is a two - tailed test (critical regions in both tails).

• \(H_1:\mu < k\) is a left - tailed test (critical region in the left tail).
• \(H_1:\mu>k\) is a right - tailed test (critical region in the right tail).
• \(H_1:\mu = k\) is not a valid alternative hypothesis (as the null hypothesis is usually \(H_0:\mu = k\)).

Step2: Analyze the given critical region

The critical region is in the right tail.

Answer:

\(H_1:\mu>k\)