A student believes that the average grade on the final examination in DSILYTC 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 less than or equal to 85Population mean is less than 85Population mean is greater than or equal to 85Population mean is greater than 85
Question
A student believes that the average grade on the final examination in DSILYTC 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 less than or equal to 85Population mean is less than 85Population mean is greater than or equal to 85Population mean is greater than 85
Solution
The correct null hypothesis is "Population mean is less than or equal to 85".
Here's why:
In hypothesis testing, the null hypothesis (H0) is a statement of no effect or no difference. It's the hypothesis we're trying to test against with our alternative hypothesis (H1).
In this case, the student believes that the average grade on the final examination in DSILYTC is greater than 85. This is our alternative hypothesis (H1: μ > 85).
The null hypothesis is the opposite of the alternative hypothesis. So, if the alternative hypothesis is that the population mean is greater than 85, the null hypothesis should be that the population mean is less than or equal to 85.
Therefore, the correct null hypothesis is "Population mean is less than or equal to 85".
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