The dean of a major university claims that the mean number of hours students study at her University (perday) is at most 4.4 hours. If a hypothesis test is performed, how should you interpret a decision that fails toreject the null hypothesis?
A) There is not sufficient evidence to reject the claim $\mu \leq 4.4$.
B) There is sufficient evidence to reject the claim $\mu \leq 4.4$.
C) There is sufficient evidence to support the claim $\mu \leq 4.4$.
D) There is not sufficient evidence to support the claim $\mu \leq 4.4$.

Question

The dean of a major university claims that the mean number of hours students study at her University (perday) is at most 4.4 hours. If a hypothesis test is performed, how should you interpret a decision that fails toreject the null hypothesis? 
A) There is not sufficient evidence to reject the claim $\mu \leq 4.4$.
B) There is sufficient evidence to reject the claim $\mu \leq 4.4$.
C) There is sufficient evidence to support the claim $\mu \leq 4.4$.
D) There is not sufficient evidence to support the claim $\mu \leq 4.4$.

Quizplus · Accepted Answer

Failing to reject the null hypothesis means there isn't enough evidence against the null hypothesis, which in this case is the claim that the mean number of study hours per day is at most 4.4 hours.

The Dean of a Major University Claims That the Mean μ≤4.4\mu \leq 4.4μ≤4.4

The Dean of a Major University Claims That the Mean $\mu \leq 4.4$