Question

the mean iq of statistics teachers is greater than 150. if a hypothesis test is performe decision that rejects the null hypothesis?

a. there is sufficient evidence to support the claim \\( \mu>150 \\).
b. there is sufficient evidence to reject the claim \\( \mu>150 \\).
c. there is not sufficient evidence to reject the claim \\( \mu>150 \\).
d. there is not sufficient evidence to support the claim \\( \mu>150 \\).

Explanation:

Step1: Understand hypothesis testing basics

In hypothesis testing, rejecting the null hypothesis ($H_0$) means there is evidence in favor of the alternative hypothesis ($H_1$). Here, the claim is $\mu> 150$, which is the alternative hypothesis.

Step2: Analyze the decision

When we reject the null hypothesis, it implies that the data provides enough support for the alternative hypothesis.

Answer:

A. There is sufficient evidence to support the claim $\mu>150$.