Collecting Data
A local government wants to gauge public opinion on a proposed tax increase to fund school improvements. They send out a survey via email but receive responses primarily from older homeowners without children in schools. Analyze the scenari...
Sampling bias, leading to an overestimation of support for the tax increase.
Non-response bias, leading to an underestimation of support for the tax increase.
Voluntary response bias, potentially skewing the results towards the opinions of those with strong feelings about the issue.
Undercoverage bias, accurately reflecting the opinions of the entire population.
A researcher collects data on the income and education levels of individuals in a town, but only relies on information shared by volunteers. What is the most significant implication of this non-random approach to data collection?
The sample will perfectly represent the population.
The results may be biased and not generalizable to the entire town's population.
Causation can be established between income and education levels.
Random variation will be eliminated.
In an experiment studying the effect of a new drug on blood pressure, what are the experimental units?
The new drug.
The participants in the study.
The blood pressure measurements.
The researchers.
An educational researcher wants to survey high school students in a large school district to assess their opinions on a new curriculum. The district contains 20 high schools with vastly different demographics and academic performance levels...
Simple Random Sample (SRS)
Stratified Random Sample
Cluster Sample
Systematic Random Sample
Which of the following is most likely to introduce bias into a survey?
Using a large sample size.
Ensuring anonymity for respondents.
Asking leading questions.
Randomly selecting participants.
How can non-response bias affect the results of a study?
It ensures that the sample is representative of the population.
It only affects the sample size but not the study's conclusions.
It can lead to an overestimation of the true population parameter.
It can skew the results if those who don't respond differ systematically from those who do.
Why is random assignment important in an experiment?
To increase the sample size.
To ensure that the sample is representative of the population.
To reduce bias and control for confounding variables.
To make the experiment more convenient for the researchers.

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A researcher wants to test the effectiveness of a new fertilizer on plant growth. They have access to a greenhouse with varying light and temperature conditions. Design an experiment to test the fertilizer's effectiveness, including control...
Plant all plants in the same location to ensure uniform conditions.
Use different types of plants to see which responds best to the fertilizer.
Randomly assign plants to treatment groups, control light and temperature, and include a control group with no fertilizer.
Apply the fertilizer to all plants and measure their growth.
A researcher is studying the sleep habits of college students. They randomly select 200 students from a university to survey. In this scenario, what is the sample?
All college students in the world.
All students at the specific university.
The 200 students selected for the survey.
The researcher conducting the study.
Which of the following study types can establish a cause-and-effect relationship between variables?
Observational study
Retrospective study
Prospective study
Experiment