226k views
2 votes
State whether each of the following situations is a correctly stated hypothesis testing problem and why. a. H

0 :μ=25,

User Jayground
by
7.7k points

1 Answer

4 votes

Final Answer:

The given statement "H0: μ=25" is not a complete hypothesis testing problem because it lacks an alternative hypothesis.

Step-by-step explanation:

In hypothesis testing, a complete problem consists of two hypotheses: the null hypothesis (H0) and the alternative hypothesis (Ha). The null hypothesis typically represents the status quo or a claim to be tested, while the alternative hypothesis presents an alternative claim or the researcher's interest. The given statement presents only the null hypothesis, stating μ (population mean) equals 25, but it doesn't specify any alternative hypothesis (Ha).

A complete hypothesis testing problem would include both hypotheses, such as "H0: μ=25" (null hypothesis) and "Ha: μ ≠ 25" or "Ha: μ > 25" or "Ha: μ < 25" (alternative hypotheses), providing a specific direction or difference from the null hypothesis. This setup enables statisticians to conduct hypothesis tests, gather evidence from the sample data, and make decisions about accepting or rejecting the null hypothesis based on the evidence.

User Christopher Clark
by
8.3k points