Question

The mean monthly gasoline bill for one household is greater than ​$140. 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 reject the claim mu ​> ​$140.
B. There is not sufficient evidence to support the claim mu ​> ​$140.
C. There is sufficient evidence to support the claim mu ​> ​$140.
D. There is not sufficient evidence to reject the claim mu ​> ​$140.

Answer 1

Answer: C. There is sufficient evidence to support the claim .$\mu>140$

Step-by-step explanation:

Given (claim) :The mean monthly gasoline bill for one household is greater than ​$140.

Let $\mu$ be the population mean.

Then, the set of hypothesis for this claim will be:-

$H_0:\mu\leq140\\\\ H_a:\mu>140$

If a hypothesis test is​ performed , then to interpret a decision that fails to reject the null​ hypothesis we says that there is sufficient evidence to support the claim $\mu>140$