A Hypothesis Test Is to Be Performed $= 23 \mathrm { mpg }$

question 189

Multiple Choice

A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the givensituation.
-Carter Motor Company claims that its new sedan, the Libra, will average better than 22 miles per gallon, which is the gas mileage of its competitor.
The hypotheses are as follows:
Null hypothesis: mean gas mileage $= 23 \mathrm { mpg }$
Alternative hypothesis: mean gas mileage $> 23 \mathrm { mpg }$

• A) Rejecting the null hypothesis means there is evidence that the mean gas mileage is greater than \(23 \mathrm { mpg }\).
• Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean gas mileage is greater than \(23 \mathrm { mpg }\).
• B) Rejecting the null hypothesis means there is evidence that the mean gas mileage is not equal to \(23 \mathrm { mpg }\).
• Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean gas mileage is greater than \(23 \mathrm { mpg }\).
• C) Rejecting the null hypothesis means there is evidence that the mean gas mileage is greater than 23 mpg.
• Failing to reject the null hypothesis means there is insufficient evidence to conclude that the mean gas mileage is equal to \(23 \mathrm { mpg }\).
• D) Rejecting the null hypothesis means there is evidence that the mean gas mileage is greater than \(23 \mathrm { mpg }\).
• Accepting the null hypothesis means there is evidence to conclude that the mean gas mileage is equal to \(23 \mathrm { mpg }\).

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