Suppose You Want to Test the Claim That $\mu _ { 1 } = \mu _ { 2 } .$

question 36

Multiple Choice

Suppose you want to test the claim that $\mu _ { 1 } = \mu _ { 2 } .$ Assume the two samples are random and independent. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

• A)There is sufficient evidence to reject the claim μ \(\mu _ { 1 } = \mu _ { 2 } .\)
• B)There is not sufficient evidence to reject the claim μ \(\mu _ { 1 } = \mu _ { 2 } .\)
• C)There is sufficient evidence to support the claim μ \(\mu _ { 1 } = \mu _ { 2 }\)
• D)There is not sufficient evidence to support the claim μ \(\mu _ { 1 } = \mu _ { 2 }\)

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Definitions:

Open Mind

The willingness to consider new ideas and perspectives without letting one's own beliefs hinder the process.

Divine Command Theory

The ethical theory that posits moral values and obligations are rooted in the commands of God or a supreme deity.

Plato

Ancient Greek philosopher who founded the Academy in Athens, known for his works on philosophy, ethics, and politics, including the theory of Forms.

Socrates

An ancient Greek philosopher known for his contributions to ethics and epistemology, and for employing a method of inquiry and discussion based on asking and answering questions to stimulate critical thinking.