A professor of statistics refutes the claim that the average student spends 3 hours studying for the midterm exam. She thinks they spend less time than that. Which hypotheses are used to test the claim? A. H_0: mu < = 3 vs. H_1: mu > 3 B. H_0: mu = 3 vs. H_1: mu notequalto 3 C. H_0: mu notequalto 3 vs. H_1: mu = 3 D. H_0: mu > = 3 vs. H_1: mu < 3

Null hypothesis:

Alternative hypothesis:

And the best solution would be:

D. H_0: mu > = 3 vs. H_1: mu < 3

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".  

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".  

Solution to the problem

For this case we want to check if the average student spends 3 hours studying for the midterm exam. She thinks they spend less time than that, and that represent the alternative hypothesis, and the complement the null.

Null hypothesis:

Alternative hypothesis:

And the best solution would be:

D. H_0: mu > = 3 vs. H_1: mu < 3

your answer is the frist one

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