Chi-Square Tests: Comparing Frequencies

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Questions and Answers

What is the primary purpose of the Chi-Square test of independence?

  • To determine the correlation between two continuous variables
  • To identify the outliers in a distribution
  • To compare the means of two or more groups
  • To test the relationship between two categorical variables (correct)

What is the degrees of freedom for the Chi-Square distribution in the goodness of fit test?

  • K - 1 (correct)
  • K
  • K + 1
  • 2K - 1

What is the null hypothesis in the Chi-Square test of independence?

  • The variables are independent
  • There is no association between the two variables (correct)
  • There is an association between the two variables
  • The variables are correlated

What is the formula for calculating the test statistic in the Chi-Square test?

<p>(O - E)^2 / E (B)</p>
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What is the significance level at which the null hypothesis is rejected in the Chi-Square test?

<p>0.5% (A)</p>
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What is the degrees of freedom for the Chi-Square distribution in the Chi-Square test of independence?

<p>(kr - 1)(kc - 1) (B)</p>
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What is the purpose of the Chi Square Goodness of Fit test?

<p>To determine if the frequencies of different groups differ from those expected under the null hypothesis (B)</p>
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What is the null hypothesis in a Chi Square test?

<p>The observed frequencies are equal to the expected frequencies (C)</p>
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What is the purpose of the level of significance in hypothesis testing?

<p>To determine the probability of rejecting the null hypothesis when it is true (D)</p>
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What is the purpose of the test statistic in hypothesis testing?

<p>To measure the strength of evidence against the null hypothesis (D)</p>
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What happens if the test statistic falls in the top 5% of the distribution?

<p>The null hypothesis is unlikely to be true (D)</p>
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What is the purpose of the alternative hypothesis?

<p>To provide a hypothesis that is opposite to the null hypothesis (D)</p>
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