Multiple Choice
In the context of hypothesis testing, which of the following is a reason that data may be considered unreliable?
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9. Hypothesis Testing for One Sample
Steps in Hypothesis Testing
Multiple Choice
Which of the following is an appropriate null hypothesis for the student's experiment?
A
(The population mean is less than zero)
B
(The population mean is not equal to zero)
C
(The population mean is greater than zero)
D
(The population mean is equal to zero)
Verified step by step guidance1
Understand that the null hypothesis (denoted as \(H_0\)) is a statement of no effect or no difference, which serves as the starting assumption for hypothesis testing.
Recognize that the null hypothesis typically includes an equality, such as \(\mu = 0\), where \(\mu\) represents the population mean.
Identify that alternative hypotheses (denoted as \(H_a\) or \(H_1\)) express the research question and usually involve inequalities like \(\mu \neq 0\), \(\mu < 0\), or \(\mu > 0\).
Review the options given and note that hypotheses stating \(\mu < 0\), \(\mu \neq 0\), or \(\mu > 0\) are alternative hypotheses, not null hypotheses.
Conclude that the appropriate null hypothesis is the one stating \(H_0: \mu = 0\), which assumes no difference or effect until evidence suggests otherwise.
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