Question

the mean age of principals in a local school district is 50.1 years. if a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?
a. there is not sufficient evidence to reject the claim μ = 50.1
b. there is not sufficient evidence to support the claim μ = 50.1
c. there is sufficient evidence to reject the claim μ = 50.1
d. there is sufficient evidence to support the claim μ = 50.1

Explanation:

Step1: Understanding Hypothesis Testing Basics

In hypothesis testing, the null hypothesis ($H_0$) is a statement of no - effect or no - difference. Here, $H_0:\mu = 50.1$.

Step2: Interpreting Rejection of Null Hypothesis

When we reject the null hypothesis, it means that the sample data provides enough evidence against the null hypothesis. So, if we reject $H_0:\mu = 50.1$, it implies that there is sufficient evidence to reject the claim that the population mean age of principals ($\mu$) is 50.1 years.

Answer:

C. There is sufficient evidence to reject the claim $\mu = 50.1$