AP Statistics Unit 3 Collecting Data

Topic 3.4: Potential Problems with Sampling

How sampling and survey bias can lead to misleading estimates
Video Follow-Along Worksheet
↻ Already did this one? It stays open even after it’s checked off — just change any answer and click ✓ Check Answers again (no need to Reset). ✨ Grade with AI only ever raises your grade. Make sure you’re signed in so your changes save.
Learning Objectives: Essential Knowledge:

Key Vocabulary

BiasA systematic tendency to favor certain responses over others.
Undercoverage BiasBias that occurs when part of the population has a reduced chance of being included in the sample.
Nonresponse BiasBias that occurs when chosen individuals do not respond and may differ from those who do respond.
Volunteer Response BiasBias that occurs when people choose themselves to participate and volunteers differ from nonvolunteers.
PopulationThe entire group the study wants information about.
SampleThe individuals from whom data are actually collected.
OverestimateAn estimate that is systematically too high.
UnderestimateAn estimate that is systematically too low.
Question Wording BiasBias caused by confusing or leading survey questions.
Self-Reported Response BiasBias caused when people inaccurately report their own traits or behaviors.
Leading QuestionA question worded in a way that pushes respondents toward a certain answer.
RepresentativeAccurately reflecting the characteristics of the population.

Video 1: Potential Problems with Sampling

[0:00 – 6:57]
1. [0:00] Topic 3.4 discusses potential sources of in .
2. [0:12] We will learn which methods lead to estimates and how they can cause overestimates or .
College Pamphlet Example [0:27 – 1:41] A college advertisement claimed that 99.7% of former students were working full-time in careers of their choice. The catch was that the statistic was based only on recent graduates, not all students who started at the school.
3. [1:31] The pamphlet sampled recent , so students who did not were excluded.
4. [1:41] Only percent of the incoming freshman class graduated within six years.
5. [2:23] Bias is a systematic tendency to favor certain over others.
6. [2:23] Excluding part of the population can create bias.
7. [2:23] Undercoverage happens when part of the population has a reduced chance of being in the sample.
8. [2:44] When selected individuals do not respond, the result may be bias.
9. [2:44] In the internship survey example, only percent of sampled students responded.
How to Explain Bias on an FRQ [3:27 – 4:12]
10. [3:30] When explaining bias, first identify the population and the .
11. [3:30] Then explain how the sampled individuals might differ from the general .
12. [3:46] If students without paid internships respond less often, the reported 85% is likely an of the true percentage.
13. Reflection: A university randomly selects students and emails them a survey asking whether they found a paid summer internship. Only 10% respond. Explain why this could lead to nonresponse bias. Identify the population, the sample, and whether the result is likely too high or too low.
Running Study Volunteers [4:55 – 5:41] The video gives an example of a study about whether people enjoy running. An advertisement asks for volunteers for a running study, which may attract people who already like running more than the general population does.
14. [4:55] response bias occurs when invitations are sent to all individuals in the population and only choose to participate.
15. [4:55] Advertising a running study may attract people who already running.
16. [4:55] Because of that, the study may the true proportion of people who enjoy running.
17. [5:43] If you are unsure of the exact vocabulary term, the most important thing is to describe how the bias .
18. [5:43] You should also explain whether the bias causes an overestimate or an .
Other Survey Biases [6:12 – 6:57]
19. [6:12] Confusing or leading survey questions create question bias.
20. [6:12] When people inaccurately report their own traits, that is self-reported response .
21. [6:57] Bias occurs when certain responses are systematically over others.
22. Reflection: Describe the difference between undercoverage bias and volunteer response bias. Explain how each one makes the sample differ from the population and how either could lead to a distorted estimate.

Exit Ticket

A city wants to estimate the proportion of all residents who support adding more bike lanes. Officials mail every household a card that says, "Complete our survey if you support this important plan to make our streets safer by adding more bike lanes." Residents may choose whether to respond online.

(a) Identify the population and the sample.

(b) Identify one source of sampling bias and explain whether it is likely to create an overestimate or underestimate of support.

(c) Identify one source of response bias in the wording of the survey question.

(d) Describe one change that would improve the study.

Class Responses (Esc to close)

Click a "Class" button next to a question to see responses.