Chi-squared goodness of fit review

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What is the Chi-Squared Goodness of Fit Test?

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A statistical test used to determine if the observed frequencies in a categorical dataset differ from the expected frequencies.

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How do you calculate degrees of freedom for a Chi-Squared Goodness of Fit Test?

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Degrees of freedom (df) = Number of categories - 1.

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What is the formula for the Chi-Squared test statistic?

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What does a p-value represent in hypothesis testing?

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The probability of obtaining test results at least as extreme as the observed results, assuming the null hypothesis is true.

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

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The threshold for rejecting the null hypothesis, commonly set at 0.05.

Tags

CCSS.HSS.ID.A.4

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

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It indicates that there is sufficient evidence to reject the null hypothesis.

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What is the null hypothesis in a Chi-Squared Goodness of Fit Test?

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The null hypothesis states that the observed frequencies match the expected frequencies.

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What is the alternative hypothesis in a Chi-Squared Goodness of Fit Test?

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The alternative hypothesis states that the observed frequencies do not match the expected frequencies.

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How many degrees of freedom are there for a spinner with 10 outcomes?

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9 (10 outcomes - 1).

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What is the relationship between the Chi-Squared statistic and the p-value?

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A higher Chi-Squared statistic typically corresponds to a lower p-value, indicating stronger evidence against the null hypothesis.