객관식
Which of the following is not a requirement for regression analysis?
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9. Hypothesis Testing for One Sample
Steps in Hypothesis Testing
객관식
Which of the following hypotheses is not an appropriate form for an alternative hypothesis in hypothesis testing?
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검증된 단계별 안내1
Understand that in hypothesis testing, the alternative hypothesis (denoted as \(H_a\)) represents what we want to test for and must be a statement that contradicts the null hypothesis (\(H_0\)).
Recall that the null hypothesis typically includes an equality (e.g., \(\mu = 10\)), and the alternative hypothesis should be an inequality or difference (e.g., \(\mu > 10\), \(\mu < 10\), or \(\mu \neq 10\)).
Identify that an alternative hypothesis stating \(\mu = 10\) is not appropriate because it is an equality, which belongs to the null hypothesis, not the alternative.
Review the given options and recognize that \(H_a: \mu = 10\) is the incorrect form for an alternative hypothesis since it does not contradict the null hypothesis but rather repeats the equality.
Conclude that valid alternative hypotheses must express a difference or inequality, such as \(\mu > 10\), \(\mu < 10\), or \(\mu \neq 10\), to properly test against the null hypothesis.
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