Problem 1178

Use the statement to represent a claim. Write its complement and state which is H₀ and which is Ha_.

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

H₀:µ≥199

H_a:µ<199