Exploring Two–Variable Data
In analyzing data from a school election, if you want to determine whether grade level and candidate choice are associated with each other without regard to actual vote counts, which measure would be most appropriate?
Chi-square test for independence
Simple linear regression analysis
T-test comparing means across groups
Z-score comparison between groups
What does it mean if two categorical variables are independent?
There exists no statistical relationship measurable by numerical means.
The sum total counts across categories remains constant within both variables.
One variable causes changes in another variable.
The distribution of one variable is not affected by the distribution of another variable.
Which measure helps determine if there is an association between two categorical variables in a contingency table?
Slope of regression line
Chi-square test statistic
Sample mean difference
Correlation coefficient
What is a plausible reason for finding a positive correlation between ice cream sales and drowning incidents without implying causation?
Both ice cream sales and drowning incidents increase during summer months due to warmer weather.
Drowning incidents cause an increase in ice cream sales.
Eating ice cream causes people to drown.
People who are prone to drowning prefer eating more ice cream.
Which type of variable cannot be meaningfully ordered or measured on a continuous scale?
Categorical variable
Quantitative variable
Conditional variable
Independent variable
What is the marginal relative frequency of people who take longer than 20 minutes to run a mile?
| <20 min | >=20 min | Total | |
|---|---|---|---|
| <18 yo | 120 | 180 | 300 |
| >=18 yo | 180 | 220 | 400 |
| Total | 300 | 400 | ... |
If a researcher wants to compare the success rates of two treatments for a disease, which study design would best allow for causal conclusions?
Randomized comparative experiment
Prospective observational study
Stratified random sample survey
Retrospective observational study

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A survey has two response options, 'Yes' or 'No'. If every participant answers randomly, what's the likelihood that any one participant will answer 'Yes'?
0.25
None of these options are correct.
0
0.5
When examining the relationship between smoking status (smoker or non-smoker) and exercise frequency (daily, weekly, seldom), which graphical display would allow you to compare conditional distributions effectively?
Box plot
Scatterplot
Histogram
Stacked bar chart
In flipping a fair coin twice, what is the probability that both flips will result in heads?
1/12
None of these options are correct.
1/4
3/4