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

question 31

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 $\mu _ { d }$ the mean value of the differences d for a population of paired data, is greater than 0 . Given a sample of n=15 and a significance level of $\alpha = 0.01$ what criterion would be used for rejecting the null hypothesis?

• A) Reject null hypothesis if test statistic <2.624 .
• B) Reject null hypothesis if test statistic >2.602 .
• C) Reject null hypothesis if test statistic >2.624 .
• D) Reject null hypothesis if test statistic >2.977 or <-2.977 .

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Definitions:

White Racism

A belief or doctrine asserting the superiority of white people over people of other racial backgrounds, often manifesting in social, economic, and political systems.

Nuclear Weapons

Explosive devices that derive their destructive force from nuclear reactions, either fission or a combination of fission and fusion, posing significant threats to global security.

Berlin Wall

A fortified barrier that divided East and West Berlin from 1961 to 1989, symbolizing the Cold War's division of East and West Germany, and by extension the world.

UN

The United Nations, an international organization founded in 1945 to promote peace, security, and cooperation among countries worldwide.