Hypothesis Testing for proportions

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What is the null hypothesis (H0) in hypothesis testing?

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The null hypothesis (H0) is a statement that there is no effect or no difference, and it serves as the default assumption that is tested against an alternative hypothesis.

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What is the alternative hypothesis (H1) in hypothesis testing?

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The alternative hypothesis (H1) is a statement that indicates the presence of an effect or a difference, and it is what the researcher aims to support.

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What does a two-tailed test in hypothesis testing indicate?

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A two-tailed test is used when the alternative hypothesis states that the parameter is not equal to the null hypothesis value, allowing for the possibility of an effect in both directions.

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

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The significance level (α) 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 to reject the null hypothesis?

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Rejecting 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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Failing to reject the null hypothesis means that there is not enough evidence to support the alternative hypothesis.

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What is a p-value in hypothesis testing?

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A p-value is the probability of obtaining test results at least as extreme as the observed results, assuming that the null hypothesis is true.

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What decision should be made if the p-value is less than the significance level (α)?

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If the p-value is less than α, the null hypothesis should be rejected.

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What is the formula for calculating the test statistic for proportions?

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What is the critical value in hypothesis testing?

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The critical value is the threshold that determines whether to reject the null hypothesis, based on the significance level and the type of test.

Tags

CCSS.HSS.ID.A.4