Null and Alternative Hypothesis Practice

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What is the null hypothesis in statistical testing?

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The 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 the alternative hypothesis?

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The alternative hypothesis (H1) 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 a significance level (alpha) represent?

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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 does it mean if a p-value is less than the significance level?

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If a p-value is less than the significance level, it indicates strong evidence against the null hypothesis, leading to its rejection.

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What is the purpose of conducting a hypothesis test?

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The purpose of conducting a hypothesis test is to make inferences about a population based on sample data.

Tags

CCSS.HSS.IC.B.4

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What is a Type I error in hypothesis testing?

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

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What is a Type II error in hypothesis testing?

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

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What is the difference between one-tailed and two-tailed tests?

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A one-tailed test checks for an effect in one direction, while a two-tailed test checks for effects in both directions.

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What does the symbol H0 represent?

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H0 represents the null hypothesis in statistical testing.

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What does the symbol H1 represent?

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H1 represents the alternative hypothesis in statistical testing.

Tags

CCSS.HSS.IC.B.3