Question

"Represent the claim: μ ≤ 449.

Write the complement of the claim.
Identify which is H0 (null hypothesis) and which is Ha (alternative hypothesis) in the context of the claim μ ≤ 449."

Answer 1

The complement of the claim μ ≤ 449 is μ > 449; μ ≤ 449 represents the null hypothesis, and μ > 449 represents the alternative hypothesis in the context of hypothesis testing.

Step-by-step explanation:

The claim μ ≤ 449 is a statistical statement about the population mean that can be tested using hypothesis testing. The null hypothesis (H0) is a statement of no effect or no difference, and in this case, it will be H0: μ ≤ 449. The complement of this claim, which states that the actual mean is greater than 449, serves as the alternative hypothesis (Ha). The alternative hypothesis is the hypothesis that researchers usually want to prove or validate. Therefore, the alternative hypothesis in this context would be Ha: μ > 449. When you conduct hypothesis testing, you try to find evidence to support Ha and reject H0.