Problem 971

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

µ ≥199

 

Solution:-

 

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

µ < 199

Now determine which is H₀ and which is H_a. A null hypothesis, H₀, is a statistical hypothesis that contains a statement of equality. The alternative hypothesis, H_a, is the complement of the null hypothesis. It is a statement that must be true if H₀ is false, and it contains a statement of strict inequality. The hypotheses are shown below.

H₀: µ ≥ 199

H_a: µ < 199