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The mean age of professors at a university is 58.4 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis? A) There is sufficient evidence to support the claim μ-584. B) There is sufficient evidence to reject the claim μ= 58.4. C) There is not sufficient evidence to reject the claim μ-584. D) There is not sufficient evidence to support the claim μ=58.4.

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JeanaShupp

Answer: B) There is sufficient evidence to support the claim μ=584

Step-by-step explanation:

Let [tex]\mu[/tex] be the population mean age of professors at a university.

As per given , we have

Null hypothesis : [tex]H_0:\mu=58.4[/tex]

If we fails to reject null hypothesis , it means that we need to accept it.

It means we have sufficient evidence that null hypothesis is true.

i.e. There is sufficient evidence to support the claim μ=584

Hence, the correct answer is A) There is sufficient evidence to support the claim μ=584.

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