Multiple Choice
In the context of hypothesis testing, what are the two possible decisions you can make after analyzing the sample data?
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9. Hypothesis Testing for One Sample
Steps in Hypothesis Testing
Multiple Choice
Which of the following scenarios would result in a null hypothesis and an alternative hypothesis ?
A
A researcher wants to test if the mean is greater than .
B
A researcher wants to test if the mean is exactly .
C
A researcher wants to test if the mean is not equal to .
D
A researcher wants to test if the mean is less than .
Verified step by step guidance1
Understand the meaning of the null hypothesis (\( H_0 \)) and the alternative hypothesis (\( H_a \)). The null hypothesis usually represents the status quo or a statement of equality, while the alternative hypothesis represents what you want to test or prove.
Identify the null hypothesis given: \( \mu = 7 \). This means the researcher assumes the population mean is 7 unless there is enough evidence to suggest otherwise.
Look at the alternative hypothesis: \( \mu > 7 \). This means the researcher is testing if the population mean is greater than 7, which is a one-sided test.
Match the scenario to the hypotheses. The scenario where the researcher wants to test if the mean is greater than 7 corresponds to \( H_0: \mu = 7 \) and \( H_a: \mu > 7 \).
Review the other options: testing if the mean is exactly 7 corresponds to \( H_0: \mu = 7 \) and \( H_a: \mu \neq 7 \); testing if the mean is not equal to 7 corresponds to \( H_0: \mu = 7 \) and \( H_a: \mu \neq 7 \); testing if the mean is less than 7 corresponds to \( H_0: \mu = 7 \) and \( H_a: \mu < 7 \).
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