The local library has 4,250 library card holders. The library sends out a survey to every fifth library card holder. If all of the surveyed participants respond, what percent of the total population has been surveyed?
Responses
20% - correct
212.5% - incorrect
10% - incorrect
explain how you get the correct answer
To find out what percent of the total population has been surveyed, we need to determine how many library card holders are being surveyed.
First, we calculate how many library card holders will be surveyed by dividing the total number of library card holders by 5 (since every fifth card holder is surveyed):
4,250 / 5 = 850
So, 850 library card holders will be surveyed.
To find the percentage of the total population that has been surveyed, we divide the number of surveyed participants by the total number of library card holders and multiply by 100:
(850 / 4,250) x 100 = 20%
Therefore, 20% of the total population has been surveyed.
Which of the following is an example of a loaded question?
Responses
Which candidate do you support for city council? - incorrect
Do you prefer this beloved fantasy series or that less acclaimed mystery novel? - correct
What is your favorite candy flavor? - incorrect
explain how you get the correct answer
A loaded question is a question that contains a controversial or presupposed assumption. In this case, the question is designed in a way that influences the respondent's answer.
In the second option, "Do you prefer this beloved fantasy series or that less acclaimed mystery novel?" is an example of a loaded question because it assumes that the fantasy series is beloved and implies that the mystery novel is less acclaimed. This presupposes that the respondent should prefer the fantasy series over the mystery novel, which may influence their answer. This type of question may not be neutral and could potentially lead to biased responses.
What is the first step in building a model?
Responses
Collect real-life data. - incorrect
Define the objective and variable(s) of interest. - incorrect
Identify the statistical question, hypothesis, or theory. - correct
explain how you get the correct answer
The first step in building a model is to identify the statistical question, hypothesis, or theory. This step involves determining what you are trying to achieve with the model, what variables are of interest, and what specific questions or hypotheses you want to address.
Before collecting real-life data or defining variables, it is important to have a clear understanding of the purpose of the model and what you are trying to investigate or predict. Identifying the statistical question, hypothesis, or theory provides a clear direction for the modeling process and helps ensure that the model is developed with a specific goal in mind.