T-Test and Chi-Square Test Basics

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3. True or False: A chi-square test can determine causation between two categorical variables.

True

False

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6. When comparing three or more group means, which test is more appropriate than multiple t-tests?

Chi-square test

ANOVA

Correlation

Z-test

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8. Which assumption is critical for both t-tests and chi-square tests?

Equal variances in all groups

Random or representative sampling

Data must be perfectly normal

Variables must be highly correlated

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10. If the p-value in a chi-square test is 0.03, should you reject the null hypothesis at α = 0.05?

Yes, reject the null hypothesis

No, fail to reject the null hypothesis

The test is inconclusive

It depends on the sample size

11. Which test is used to compare the means of two groups?

Chi-square test

T-test

ANOVA

Regression analysis

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13. Which test would you use to determine if a coin is fair based on 100 flips?

T-test

Chi-square goodness-of-fit test

Linear regression

Correlation analysis

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15. A paired t-test is used when comparing measurements from the same subjects at different time points. True or False?

True

False

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17. Which of the following is an assumption of the t-test?

Data must be categorical

The population must be normally distributed

Sample sizes must be equal

Variables must be uncorrelated

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19. What does a p-value less than 0.05 typically indicate?

The null hypothesis is definitely true

The result is statistically significant at the 5% level

The sample size is too small

The test cannot be trusted

20. A chi-square test is primarily used to analyze the relationship between which type of variables?

Two continuous variables

One continuous and one categorical variable

Two categorical variables

Time series data

Data+ V2 T Test and Chi Square Test Basics Quiz

1. The null hypothesis in a t-test typically states that the difference between group means is ____.

2.

What first name or nickname would you like us to use?

2. In a t-test, the critical value depends on the significance level (α) and the ____.

3. True or False: A chi-square test can determine causation between two categorical variables.

4. The t-distribution is used in t-tests primarily because the population ____ is often unknown.

5. A chi-square test requires that expected frequencies in each cell be at least ____.

6. When comparing three or more group means, which test is more appropriate than multiple t-tests?

7. The chi-square test is a ____ test because it does not assume a normal distribution.

8. Which assumption is critical for both t-tests and chi-square tests?

9. A one-sample t-test compares a sample mean to a ____ population mean.

10. If the p-value in a chi-square test is 0.03, should you reject the null hypothesis at α = 0.05?

11. Which test is used to compare the means of two groups?

12. A large chi-square statistic suggests that observed and expected frequencies are ____ different.

13. Which test would you use to determine if a coin is fair based on 100 flips?

14. The degrees of freedom for a chi-square test with a 3×4 contingency table is ____.

15. A paired t-test is used when comparing measurements from the same subjects at different time points. True or False?

16. The chi-square test compares observed frequencies to ____ frequencies.

17. Which of the following is an assumption of the t-test?

18. An independent samples t-test assumes that the two groups being compared are ____.

19. What does a p-value less than 0.05 typically indicate?

20. A chi-square test is primarily used to analyze the relationship between which type of variables?