A student believes that the average grade on the quiz in Math is greater than 85. She plans on taking a sample to test her belief. The correct null hypothesis is Group of answer choicesPopulation mean is greater than or equal to 85Population mean is less than or equal to 85Population mean is less than 85Population mean is greater than 85
Question
A student believes that the average grade on the quiz in Math is greater than 85. She plans on taking a sample to test her belief. The correct null hypothesis is Group of answer choicesPopulation mean is greater than or equal to 85Population mean is less than or equal to 85Population mean is less than 85Population mean is greater than 85
Solution
The correct null hypothesis is "Population mean is greater than or equal to 85".
Here's why:
In hypothesis testing, the null hypothesis (H0) is usually a statement of no effect or no difference. It's the hypothesis that we assume to be true until we have sufficient evidence to suggest otherwise.
In this case, the student believes that the average grade on the quiz in Math is greater than 85. This is her alternative hypothesis (H1).
The null hypothesis (H0) should be the opposite of this. So, if the student's alternative hypothesis is that the population mean is greater than 85, the null hypothesis should be that the population mean is not greater than 85.
This can be expressed as "Population mean is greater than or equal to 85". This means that the average grade could be 85 or less, which is the opposite of the student's belief that the average grade is greater than 85.
So, if the student finds evidence that the average grade is indeed greater than 85, she can reject the null hypothesis in favor of her alternative hypothesis.
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