Algebra 2 Sampling, Surveys and Experiments Quiz: 10 Questions with Explanations

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This sampling inference quiz for Algebra 2 covers sampling, surveys and experiments (Common Core S-IC.A.1, S-IC.A.2, S-IC.B.3, S-IC.B.4, S-IC.B.5, S-IC.B.6), with a free PDF to print.

Answer ten multiple-choice questions on sampling, surveys, and experiments. Choose one option for each question, then read the explanation to see why the correct choice works and which mistake, such as confusing an observational study with an experiment, each wrong choice shows.

Algebra 2 · Common Core State Standards: S-IC.A.1, S-IC.A.2, S-IC.B.3, S-IC.B.4, S-IC.B.5, S-IC.B.6

Sampling inference quiz: 10 questions

Question 1
What kind of sample gives every member of the population an equal chance of being chosen?

Question 2
Which study can show cause and effect?

Question 3
Surveyask a sampleObservational studywatch, no treatmentExperimentassign treatments at random
Only an experiment with random assignment can show cause and effect.

In the diagram, which study assigns treatments at random?

Question 4
A poll of 400 people has a margin of error of about

Question 5
Which change reduces the margin of error?

Question 6
02461365320.350.40.450.50.550.60.65Sample proportion
Twenty simulated sample proportions from random samples of 100.

Most simulated sample proportions are close to which value?

Question 7
A volunteer online survey is likely to be biased because

Question 8
In an experiment, the control group is the group that

Question 9
0102030405062244217-1-0.6-0.20.20.61Difference in means (hours)
100 differences in group means after random re-assignment.

An observed difference lies far to the right of all 100 simulated differences. What does that suggest?

Question 10
Why can’t an observational study prove cause and effect?

Remember

Remember
  • A random sample is representative; a convenience sample is biased.
  • Surveys, observational studies, and experiments answer different questions.
  • Random assignment supports cause-and-effect conclusions.
  • Margin of error for a proportion ≈ 1/√n.
  • Simulation shows how likely a result is by chance.

How to use this sampling inference quiz

Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.

Download the sampling inference quiz as a PDF with the button below and keep it with your notes.

Download the sampling inference quiz as a PDF with the button below and keep it with your notes.

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Algebra 2 Sampling, Surveys and Experiments Quiz: 10 Questions with Explanations

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