Car MileageSuppose you are asked to define the null and alternative hypotheses when a popular carmaker claims that its cars give a mileage of at least 17 kilometres per litre. Which of these are the most appropriate null and alternative hypotheses if you want to test this claim? (Remember that your motive is to verify whether the carmaker’s claim is false.)Ho: Mileage < 17; Ha: Mileage ≥ 17Ho: Mileage ≤ 17; Ha: Mileage > 17Ho: Mileage ≥ 17; Ha: Mileage < 17Ho: Mileage = 17; Ha: Mileage ≠ 17
Question
Car MileageSuppose you are asked to define the null and alternative hypotheses when a popular carmaker claims that its cars give a mileage of at least 17 kilometres per litre. Which of these are the most appropriate null and alternative hypotheses if you want to test this claim? (Remember that your motive is to verify whether the carmaker’s claim is false.)Ho: Mileage < 17; Ha: Mileage ≥ 17Ho: Mileage ≤ 17; Ha: Mileage > 17Ho: Mileage ≥ 17; Ha: Mileage < 17Ho: Mileage = 17; Ha: Mileage ≠ 17
Solution
The most appropriate null and alternative hypotheses to test this claim would be:
Ho: Mileage ≥ 17; Ha: Mileage < 17
The null hypothesis (Ho) is usually the claim or statement that you are looking to test and in this case, it is the carmaker's claim that the mileage is at least 17 kilometres per litre. The alternative hypothesis (Ha) is the opposite of the null hypothesis and represents the outcome if the null hypothesis is false. In this case, it would mean that the mileage is less than 17 kilometres per litre.
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