BESC 3010 Ch8 Questions and Answers
| Latest Update | 2024/2025 | Graded A+
What is the purpose of conducting a chi-square test?
A chi-square test is used to determine if there is a significant association between categorical
variables, helping to analyze whether the observed frequencies diff...
BESC 3010 Ch8 Questions and Answers
| Latest Update | 2024/2025 | Graded A+
What is the purpose of conducting a chi-square test?
✔✔A chi-square test is used to determine if there is a significant association between categorical
variables, helping to analyze whether the observed frequencies differ from the expected
frequencies.
How do you interpret the results of a chi-square test?
✔✔The results of a chi-square test are interpreted by comparing the calculated chi-square
statistic to a critical value from the chi-square distribution; if the statistic exceeds the critical
value, we reject the null hypothesis.
What is the difference between a goodness-of-fit test and a test of independence?
✔✔A goodness-of-fit test assesses whether the observed distribution of a single categorical
variable matches an expected distribution, while a test of independence evaluates whether two
categorical variables are related.
What assumptions must be met to conduct a chi-square test?
1
, ✔✔The assumptions include having a random sample, expected frequencies of at least five in
each category, and independent observations within the dataset.
How can a contingency table help in statistical analysis?
✔✔A contingency table organizes data on two categorical variables, allowing for easy
comparison and analysis of frequencies, which aids in determining relationships between the
variables.
What does it mean if a chi-square test yields a p-value less than 0.05?
✔✔A p-value less than 0.05 suggests strong evidence against the null hypothesis, indicating that
there is likely a significant association between the variables being studied.
What is the role of effect size in the context of a chi-square test?
✔✔Effect size provides a measure of the strength of association between variables, offering
additional context to the statistical significance of the chi-square test results.
How do you determine expected frequencies in a chi-square test?
2
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