Question 1EasyMultiple Select
Figure: a table with columns Evening, Afternoon and Total, and rows Juniors and 31 and 9 and 40; Seniors and 12 and 28 and 40; Total and 43 and 37 and 80.A survey asked students whether they prefer evening events. There are juniors and seniors, the same number in each group. The two-way frequency table shows the counts. Select ALL statements that are true.
Select every answer that applies, then check.
Showcase extra: the real practice and quiz players do not have this button.
Correct answer: A, B, C (highlighted above)
This explanation shows one way to solve the problem.
- Confirm the groups are the same size: Both groups contain students, so the two rows can be compared count for count. No percentages are needed.
- Compare the two rows count for count: of the juniors prefer evening events, and of the seniors do. That is a wide gap.
- State the association judgment: Equal group sizes plus counts that far apart mean the data suggest a possible association between class year and preferring evening events. Equal group totals are part of the survey design, and the column totals and mix the two groups together, so neither one settles the question.
- Check each statement: Option A is true: equal group sizes are exactly what makes a count-for-count comparison fair. Option B is true: that is what the two rows of the table show. Option C is true: equal groups with counts that far apart point to an association. Option D is false: equal group totals come from the survey design and say nothing about association.
Final Answer
Options A, B, C