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

Multiple Choice

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

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