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.

Question

26-08-2019
Mathematics

contestada

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.

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JeanaShupp JeanaShupp · Answer 1 · 2019-08-29T13:52:55+02:00

Answer: C. There is sufficient evidence to support the claim .[tex]\mu>140[/tex]

Step-by-step explanation:

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

Let [tex]\mu[/tex] be the population mean.

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

[tex]H_0:\mu\leq140\\\\ H_a:\mu>140[/tex]

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 [tex]\mu>140[/tex]