Table of contents
- 1. Intro to Stats and Collecting Data55m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically1h 45m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables2h 33m
- 6. Normal Distribution and Continuous Random Variables1h 38m
- 7. Sampling Distributions & Confidence Intervals: Mean1h 3m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 12m
- 9. Hypothesis Testing for One Sample1h 1m
- 10. Hypothesis Testing for Two Samples2h 8m
- 11. Correlation48m
- 12. Regression1h 4m
- 13. Chi-Square Tests & Goodness of Fit1h 20m
- 14. ANOVA1h 0m
1. Intro to Stats and Collecting Data
Intro to Stats
Problem 1.RE.2a
Textbook Question
Paying for First Dates USA Today posted this question on the electronic version of its newspaper: “Should guys pay for the first date?†Of the 1148 subjects who decided to respond, 85% of them said “yes.â€
a. What is wrong with this survey?

1
Identify the type of survey conducted: This survey is based on voluntary responses from individuals who chose to participate, which is known as a voluntary response sample.
Understand the implications of a voluntary response sample: Such samples often lead to bias because they tend to attract individuals who have strong opinions on the subject, which may not represent the general population.
Consider the potential for non-response bias: Since only those who are interested in the topic are likely to respond, the results may not accurately reflect the views of those who did not participate.
Evaluate the representativeness of the sample: The sample consists of 1148 subjects who responded to an online question, but it does not ensure that these respondents are representative of the broader population in terms of demographics or opinions.
Conclude the main issue with the survey: The primary problem with this survey is the lack of random sampling, which results in a sample that is not representative of the entire population, leading to biased results.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Sampling Bias
Sampling bias occurs when the sample collected is not representative of the population intended to be analyzed. In this survey, the respondents are self-selected, meaning only those who chose to participate are included, which can lead to biased results as it may not reflect the views of the entire population.
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Sampling Distribution of Sample Proportion
Voluntary Response Bias
Voluntary response bias is a type of bias that occurs when individuals voluntarily choose to participate in a survey. This often results in a sample that over-represents individuals with strong opinions, as those who feel strongly about the topic are more likely to respond, skewing the results.
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Non-Probability Sampling
Non-probability sampling refers to sampling techniques where not all members of the population have a chance of being selected. In this survey, the use of an online platform where participants self-select leads to non-probability sampling, which limits the ability to generalize findings to the broader population.
Recommended video:
Sampling Distribution of Sample Proportion
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