What is the alternative hypothesis for a one-sample t-test?
Question
What is the alternative hypothesis for a one-sample t-test?
Solution
The alternative hypothesis for a one-sample t-test is that the population mean is not equal to a specified value. This is typically represented as H1: μ ≠ x, where μ is the population mean and x is the specified value. The one-sample t-test is used to determine whether a sample comes from a population with a specific mean. This test allows you to compare the sample mean to the population mean.
Here are the steps to formulate the alternative hypothesis:
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Identify the population mean (μ) that you are testing. This is usually given in the problem or research question.
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Determine the specified value (x) that you believe the population mean is different from. This is also usually given in the problem or research question.
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Formulate the alternative hypothesis (H1) as μ ≠ x. This states that the population mean is not equal to the specified value.
Remember, the alternative hypothesis is what you might believe to be true or hope to prove true.
Similar Questions
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