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 $\mu _ { 1 } \neq \mu _ { 2 }$

Question

Quizplus · Accepted Answer

Failing to reject the null hypothesis means there isn't enough evidence to support the claim that the means are different ($\mu _ { 1 } \neq \mu _ { 2 }$). It does not prove the means are equal, just that the evidence isn't strong enough to say they are different.

Suppose You Want to Test the Claim That μ1≠μ2\mu _ { 1 } \neq \mu _ { 2 }μ1​=μ2​

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