Hypothesis Testing for Means Practice

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What is a Type II error?

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A Type II error occurs when you fail to reject a false null hypothesis.

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What is the null hypothesis (Ho) in hypothesis testing?

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The null hypothesis (Ho) is a statement that there is no effect or no difference, and it is the hypothesis that researchers aim to test against.

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What is the alternative hypothesis (Ha)?

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

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What does a P-value represent in hypothesis testing?

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A P-value indicates the probability of obtaining the observed results (or more extreme) if the null hypothesis is true.

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What does it mean to reject the null hypothesis?

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To reject the null hypothesis means that the evidence suggests that the null hypothesis is not true, and the alternative hypothesis may be accepted.

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What is a significance level (α) in hypothesis testing?

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The significance level (α) is the threshold for determining whether to reject the null hypothesis, commonly set at 0.05 or 0.01.

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What is a Type I error?

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A Type I error occurs when you reject a true null hypothesis.

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What is the role of sample size in hypothesis testing?

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Larger sample sizes generally provide more reliable estimates and can lead to more accurate conclusions in hypothesis testing.

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What does a small P-value indicate?

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A small P-value indicates strong evidence against the null hypothesis, suggesting that it may be rejected.

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Can the null and alternative hypothesis be the same?

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No, the null and alternative hypothesis cannot be the same; they represent opposing statements.