Question

the mean iq of statistics teachers is greater than 130. 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>130.
b. there is not sufficient evidence to support the claim μ>130.
c. there is not sufficient evidence to reject the claim μ>130.
d. there is sufficient evidence to reject the claim μ>130.

Explanation:

In hypothesis testing, the null hypothesis (\(H_0\)) is the statement being tested. Here, if the claim is \(\mu> 130\), the null hypothesis \(H_0:\mu\leq130\) and the alternative hypothesis \(H_1:\mu > 130\). Failing to reject the null hypothesis means that the data does not provide enough evidence to support the alternative hypothesis.

Answer:

B. There is not sufficient evidence to support the claim \(\mu>130\).