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What is a null hypothesis in hypothesis testing?

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A null hypothesis (H0) is a statement that there is no effect or no difference, and it serves as the default assumption that any observed effect is due to sampling variability.

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What is an alternative hypothesis in hypothesis testing?

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An alternative hypothesis (H1 or Ha) is a statement that indicates the presence of an effect or a difference, opposing the null hypothesis.

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What is a two-tailed hypothesis test?

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A two-tailed hypothesis test is used to determine if there is a significant difference in either direction (greater than or less than) from the null hypothesis.

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What is a left-tailed hypothesis test?

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A left-tailed hypothesis test is used to determine if there is a significant difference that is less than the null hypothesis.

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What does the symbol @@ u@@ represent in hypothesis testing?

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The symbol @@ u@@ represents the degrees of freedom, which is a parameter used in various statistical tests.

Tags

CCSS.HSS.ID.A.4

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How do you calculate the test statistic for a proportion?

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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 or 0.01.

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What does it mean to 'reject the null hypothesis'?

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To reject the null hypothesis means that there is sufficient evidence to support the alternative hypothesis.

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What does it mean to 'fail to reject the null hypothesis'?

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To fail to reject the null hypothesis means that there is not enough evidence to support the alternative hypothesis.