The mean monthly gasoline bill for one household is greater than $160. If a hupothesis test is performed, how should you interpret a dicision that fails to reject the null hypothesis?
A) There is not sufficient evidence to support the claim $$\mu \$ 160$$
B) There is sufficient evidence to reject the claim $$\mu \$ 160$$
C) There is not sufficient evidence to reject the claim $$\mu \$ 160$$
D) There is sufficient evidence to support the claim $$\mu \$ 160$$

Question

The mean monthly gasoline bill for one household is greater than $160. If a hupothesis test is performed, how should you interpret a dicision that fails to reject the null hypothesis?
A) There is not sufficient evidence to support the claim $$\mu > \$ 160$$
B) There is sufficient evidence to reject the claim $$\mu > \$ 160$$
C) There is not sufficient evidence to reject the claim $$\mu > \$ 160$$
D) There is sufficient evidence to support  the claim $$\mu > \$ 160$$

Quizplus · Accepted Answer

Failing to reject the null hypothesis means there isn't enough evidence to support the alternative hypothesis, which in this case is that the mean monthly gasoline bill is greater than $160.

The Mean Monthly Gasoline Bill for One Household Is Greater μ>$160\mu > \$ 160μ>$160

The Mean Monthly Gasoline Bill for One Household Is Greater $\mu > \$ 160$