Use the given statement to represent a claim.

Use the  given statement to represent a claim. Write its complement and state which is and which is .

µ ≥ 199

 

Solution

 

Begin by finding the complement of the claim. The complement of a claim is the statement that must be true when the claim is false. The complement of the claim is shown below.

µ < 199

Now determine which is and  which is . A null hypothesis, is a statistical hypothesis that contain a statement of equality. The alternative hypothesis, , is the complement of the null hypothesis. It is a statement that must be true if is false, and it contain a statement of strict inequality. The hypotheses are shown below.

:µ ≥ 199

: µ < 199