Question

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.

Answer 1

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

Explanation:

Let
`\mu` be the population mean age of professors at a university.

As per given , we have

Null hypothesis :
`H_0:\mu=58.4`

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.