Statistics Module 5: Analyze Phase
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Questions and Answers

What is a common characteristic of the chi-square test?

  • It is used for qualitative data (correct)
  • It is a parametric test
  • It assumes normality of the data
  • It is used for quantitative data
  • What is assumed in the chi-square test if there is no relationship between the column and row variable?

  • The expected frequencies can be calculated (correct)
  • There is a correlation between the variables
  • The columns and rows are dependent
  • The expected frequencies are equal to the observed frequencies
  • What is a characteristic of the chi-square distribution?

  • The mean is equal to the degrees of freedom (correct)
  • It can have negative values
  • The standard deviation decreases as degrees of freedom increase
  • The mean is equal to the standard deviation
  • What is an example of a qualitative variable that can be used in a chi-square test?

    <p>Gender</p> Signup and view all the answers

    What is the purpose of the chi-square test?

    <p>To test the null hypothesis of independence</p> Signup and view all the answers

    What happens to the chi-square curve as the degrees of freedom increase?

    <p>It spreads out more</p> Signup and view all the answers

    What is the purpose of McNemar's test?

    <p>To determine whether the proportions of two variables are equal</p> Signup and view all the answers

    What is the null hypothesis in the ice cream flavor preference example?

    <p>The proportion of people who like chocolate is the same as the proportion of people who like vanilla</p> Signup and view all the answers

    What is the first step in performing a chi-square test?

    <p>Create a table of the observed and expected frequencies</p> Signup and view all the answers

    What is the decision rule for rejecting the null hypothesis in a chi-square test?

    <p>Reject the null hypothesis if the chi-square value is greater than the critical value</p> Signup and view all the answers

    What is the purpose of finding the critical chi-square value in a chi-square critical value table?

    <p>To compare the chi-square value to the critical value to determine which is larger</p> Signup and view all the answers

    What is the ultimate goal of hypothesis testing in the context of the ice cream flavor preference example?

    <p>To determine whether the proportion of people who like chocolate is different from the proportion of people who like vanilla</p> Signup and view all the answers

    What is the purpose of applying the Chi-square formula in this context?

    <p>To test the independence of neighbourhood of residency and professional division</p> Signup and view all the answers

    What is the significance of the calculated Chi-square value being greater than the critical value?

    <p>It rejects the null hypothesis</p> Signup and view all the answers

    What is the degree of freedom (DF) in this Chi-square test?

    <p>4</p> Signup and view all the answers

    What is the primary advantage of using Fisher's exact test?

    <p>It is especially suitable for small sample sizes</p> Signup and view all the answers

    What is the conclusion based on the Chi-square test result?

    <p>Each person's neighbourhood of residency is not independent of their professional division</p> Signup and view all the answers

    What is the critical Chi-square value in this test?

    <p>9.49</p> Signup and view all the answers

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