Null and Alternative Hypothesis Practice

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What is a null hypothesis?

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A null hypothesis (H0) is a statement that there is no effect or no difference, and it serves as a starting point for statistical testing.

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What is an alternative hypothesis?

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An alternative hypothesis (Ha) is a statement that indicates the presence of an effect or a difference, opposing the null hypothesis.

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In hypothesis testing, what does it mean if the null hypothesis is rejected?

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Rejecting the null hypothesis suggests that there is sufficient evidence to support the alternative hypothesis.

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What is the significance level (alpha) in hypothesis testing?

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The significance level (alpha) is the probability of rejecting the null hypothesis when it is actually true, commonly set at 0.05.

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What is a Type I error?

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A Type I error occurs when the null hypothesis is incorrectly rejected when it is true.

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What is a Type II error?

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A Type II error occurs when the null hypothesis is not rejected when it is false.

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How do you formulate a null hypothesis for a claim that a population mean is greater than a specific value?

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The null hypothesis would state that the population mean is less than or equal to that specific value.

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How do you formulate an alternative hypothesis for a claim that a population mean is less than a specific value?

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The alternative hypothesis would state that the population mean is greater than that specific value.

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What is the purpose of hypothesis testing?

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The purpose of hypothesis testing is to make inferences about population parameters based on sample data.

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What does it mean if a hypothesis test is two-tailed?

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A two-tailed test checks for the possibility of an effect in two directions, meaning it tests for both greater than and less than scenarios.