Comparison of the Chi-Square Tests Quiz
The question sheet
Reveal any answer as you study-
Which chi-square test decides whether a population with an unknown distribution fits a known distribution?
- Homogeneity
- Goodness-of-Fit
- Independence
- Regression
Reveal answer
Answer: Goodness-of-Fit
Source evidence
PDF page 649: • Goodness-of-Fit: Use the goodness-of-fit test to decide whether a population with an unknown distribution "fits" a
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Which chi-square test decides whether two variables (factors) are independent or dependent?
- Homogeneity
- Independence
- Goodness-of-Fit
- Uniformity
Reveal answer
Answer: Independence
Source evidence
PDF page 649: • Independence: Use the test for independence to decide whether two variables (factors) are independent or dependent.
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Which chi-square test decides if two populations with unknown distributions have the same distribution?
- Homogeneity
- Correlation
- Independence
- Goodness-of-Fit
Reveal answer
Answer: Homogeneity
Source evidence
PDF page 649: • Homogeneity: Use the test for homogeneity to decide if two populations with unknown distributions have the same
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For the Goodness-of-Fit test, how many populations are involved?
- Three populations
- Two populations
- No populations
- A single population
Reveal answer
Answer: A single population
Source evidence
PDF page 649: known distribution. In this case there will be a single qualitative survey question or a single outcome of an experiment from a single population. Goodness-of-Fit is typically used to see if the population is uniform (all outcomes occur with equal frequency), the population is normal, or the population is the same as another population with a known distribution. The null and alternative hypotheses are: H0: The population fits the given distribution. Ha: The population does not fit the given distribution.
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Which test involves two qualitative survey questions and a contingency table?
- Homogeneity
- Uniform test
- Independence
- Goodness-of-Fit
Reveal answer
Answer: Independence
Source evidence
PDF page 649: In this case there will be two qualitative survey questions or experiments and a contingency table will be constructed. The goal is to see if the two variables are unrelated (independent) or related (dependent). The null and alternative hypotheses are: H0: The two variables (factors) are independent. Ha: The two variables (factors) are dependent.
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For the homogeneity test, the null hypothesis states that the two populations:
- Have different distributions
- Are independent
- Follow the same distribution
- Fit a known distribution
Reveal answer
Answer: Follow the same distribution
Source evidence
PDF page 649: distribution as each other. In this case there will be a single qualitative survey question or experiment given to two different populations. The null and alternative hypotheses are: H0: The two populations follow the same distribution. Ha: The two populations have different distributions.
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How many populations does the test for homogeneity compare?
- Three
- One
- Four
- Two
Reveal answer
Answer: Two
Source evidence
PDF page 649: • Homogeneity: Use the test for homogeneity to decide if two populations with unknown distributions have the same
PDF page 649: distribution as each other. In this case there will be a single qualitative survey question or experiment given to two different populations. The null and alternative hypotheses are: H0: The two populations follow the same distribution. Ha: The two populations have different distributions.
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The homogeneity test uses a single survey question given to how many populations?
- One population
- Two different populations
- Many populations
- Three populations
Reveal answer
Answer: Two different populations
Source evidence
PDF page 649: distribution as each other. In this case there will be a single qualitative survey question or experiment given to two different populations. The null and alternative hypotheses are: H0: The two populations follow the same distribution. Ha: The two populations have different distributions.
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In how many different circumstances have you seen the chi-square test statistic used?
- Two
- Four
- Five
- Three
Reveal answer
Answer: Three
Source evidence
PDF page 649: You have seen the χ test statistic used in three different circumstances. The following bulleted list is a summary that will
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For the Goodness-of-Fit test, the null hypothesis states the population:
- Fits the given distribution
- Is homogeneous
- Is dependent
- Does not fit the distribution
Reveal answer
Answer: Fits the given distribution
Source evidence
PDF page 649: known distribution. In this case there will be a single qualitative survey question or a single outcome of an experiment from a single population. Goodness-of-Fit is typically used to see if the population is uniform (all outcomes occur with equal frequency), the population is normal, or the population is the same as another population with a known distribution. The null and alternative hypotheses are: H0: The population fits the given distribution. Ha: The population does not fit the given distribution.
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Which test uses a single qualitative survey question from a single population?
- Homogeneity
- Two-tailed test
- Goodness-of-Fit
- Independence
Reveal answer
Answer: Goodness-of-Fit
Source evidence
PDF page 649: known distribution. In this case there will be a single qualitative survey question or a single outcome of an experiment from a single population. Goodness-of-Fit is typically used to see if the population is uniform (all outcomes occur with equal frequency), the population is normal, or the population is the same as another population with a known distribution. The null and alternative hypotheses are: H0: The population fits the given distribution. Ha: The population does not fit the given distribution.
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When testing whether two variables are unrelated or related, which test is used?
- Independence
- Goodness-of-Fit
- Homogeneity
- Uniform
Reveal answer
Answer: Independence
Source evidence
PDF page 649: • Independence: Use the test for independence to decide whether two variables (factors) are independent or dependent.
PDF page 649: In this case there will be two qualitative survey questions or experiments and a contingency table will be constructed. The goal is to see if the two variables are unrelated (independent) or related (dependent). The null and alternative hypotheses are: H0: The two variables (factors) are independent. Ha: The two variables (factors) are dependent.
Introductory Statistics
Introductory Statistics by OpenStax, used under CC BY 4.0. Changes made by Stratacademy.
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