Question

multiple choice 4 points
select the most appropriate response.
it is claimed that the mean age of bus drivers in chicago is 59.3 years. if a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?
there is not sufficient evidence to reject the claim μ = 59.3
there is sufficient evidence to reject the claim μ = 59.3
there is not sufficient evidence to support the claim μ = 59.3
there is sufficient evidence to support the claim μ = 59.3

Explanation:

Step1: Understand hypothesis testing

In hypothesis testing, failing to reject the null hypothesis means we do not have enough evidence to say the alternative is true. Here, the null hypothesis is \(H_0:\mu = 59.3\) (the claim that the mean age of bus - drivers in Chicago is 59.3 years).

Step2: Analyze the options

• If we fail to reject the null hypothesis \(H_0:\mu = 59.3\), it means there is not sufficient evidence to reject the claim \(\mu = 59.3\).

Answer:

There is not sufficient evidence to reject the claim \(\mu = 59.3\)