90.0k views
5 votes
Use the given statement to represent a claim. Write its complement and state which is H0 and which is Ha.

μ ≤ 663
Find the complement of the claim.
μ
â–¼
equals =
not equals â‰
greater than >
less than or equals ≤
greater than or equals ≥
less than <
663
Which is H0 and which is Ha?

User Mattty
by
8.7k points

1 Answer

4 votes

Final answer:

The claim μ ≤ 663 would make the null hypothesis H0: μ ≤ 663, and the alternative hypothesis Ha: μ > 663.

Step-by-step explanation:

The statement μ ≤ 663 represents a claim in the context of hypothesis testing. Its complement would be μ > 663. In statistical hypothesis testing, the null hypothesis, H0, typically contains some form of equality (equals, less than or equal to, greater than or equal to). Thus, for the given claim, the null hypothesis H0 would be μ ≤ 663. The alternative hypothesis, Ha, contains the complement and is usually expressed using less than, greater than, or not equal symbols. Therefore, Ha would be μ > 663, indicating the research hypothesis that the mean is greater than 663.

User Georgery
by
8.6k points