Determine the Decision Criterion for Rejecting the Null Hypothesis in the Given

question 87

Multiple Choice

Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis
-Suppose you wish to test the claim that $\mu _ { \mathrm { d } },$ , the mean value of the differences d for a population of paired data, is different from 0. Given a sample of n = 23 and a significance level of $\alpha =$ 0.05, what criterion would be used for rejecting the null hypothesis?

• A) Reject null hypothesis if test statistic \(> 1.717\).
• B) Reject null hypothesis if test statistic \(> 2.074\) or \(< - 2.074\).
• C) Reject null hypothesis if test statistic \(> 2.069\) or \(< - 2.069\).
• D) Reject null hypothesis if test statistic \(> 1.717\) or \(< - 1.717\).

---

Definitions:

Trialability

Refers to the extent to which an innovation can be tested or experimented with on a limited basis before making a full-scale adoption decision.

Innovation

Innovation involves the introduction of something new, such as an idea, method, or device, aimed at improving processes, products, or services.

Diffusion

In a business context, the process by which a new idea, product, or practice spreads within an organization or society.

Diffuse or Die

A principle suggesting that spreading out or disseminating information, innovation, or individuals is critical for survival or success.