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AP Statistics The Chi-Square Distribution — practice questions

Explore 19 free The Chi-Square Distribution questions in AP Statistics Statistics. Open each question or exercise to read its content, reference answers and available explanation.

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The Chi-Square Distribution questions and exercises with answers

Showing questions 1–19 of 19.

The chi-square goodness-of-fit test is almost always:Read the answer and worked solution →The shape of a chi-square distribution is set by a parameter written df, which stands for:Read the answer and worked solution →The test used to decide whether two categorical variables are related is the chi-square:Read the answer and worked solution →Deciding whether two populations have the same distribution uses the test for:Read the answer and worked solution →Running a chi-square test by calculator means entering the observed values and the:Read the answer and worked solution →The chi-square test statistic becomes large when observed and expected values are:Read the answer and worked solution →A very large chi-square statistic falls where on the chi-square curve?Read the answer and worked solution →The expected values in a chi-square test are the values you would see if:Read the answer and worked solution →The number of degrees of freedom for a chi-square test depends on:Read the answer and worked solution →The chi-square distribution can be used to find relationships between:Read the answer and worked solution →The test of independence and the test for homogeneity differ in whether the question concerns:Read the answer and worked solution →A chi-square statistic near zero would indicate that the data:Read the answer and worked solution →The chi-square test is right-tailed because the statistic can only be:Read the answer and worked solution →Putting observed values in one list and expected values in another is the setup for:Read the answer and worked solution →Comparing all three chi-square tests, the one that involves only a single categorical variable is:Read the answer and worked solution →Which chi-square test is it?Read the answer and worked solution →Match each chi-square termRead the answer and worked solution →True or false: chi-squareRead the answer and worked solution →Complete the chi-square ruleRead the answer and worked solution →

Worked practice questions

The chi-square goodness-of-fit test is almost always:

  1. Right-tailed
  2. Left-tailed
  3. Two-tailed
  4. Untailed
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Correct answer: A. Right-tailed

1. Evidence against the null shows up as a large test statistic. 2. A large statistic sits far out in one particular tail. 3. The goodness-of-fit test is almost always right-tailed. 4. A small statistic instead means observed and expected values agree closely. _Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 11 'The Chi-Square Distribution', sections 11.1-11.5_

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The shape of a chi-square distribution is set by a parameter written df, which stands for:

  1. Distribution form
  2. Degrees of freedom
  3. Difference factor
  4. Data frequency
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Correct answer: B. Degrees of freedom

1. A whole family of chi-square curves exists rather than one. 2. Which curve applies is fixed by a single number. 3. That number is df, the degrees of freedom. 4. It depends on how chi-square is being used. _Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 11 'The Chi-Square Distribution', sections 11.1-11.5_

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The test used to decide whether two categorical variables are related is the chi-square:

  1. Test for normality
  2. Test for symmetry
  3. Test of independence
  4. Goodness-of-fit test
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Correct answer: C. Test of independence

1. Chi-square supports several different questions about categorical data. 2. One task is to conduct and interpret chi-square test of independence hypothesis tests. 3. That test asks whether two variables are independent of one another. 4. Goodness-of-fit instead compares one variable against a claimed distribution. _Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 11 'The Chi-Square Distribution', sections 11.1-11.5_

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