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.5b
Textbook Question
Sampling For each of the following, identify the term that best describes the type of sample: systematic, convenience, stratified, cluster, or simple random sample.
b. To test for a gender difference in the way that men and women make online purchases, Gallup surveys 500 randomly selected men and 500 randomly selected women.

1
Understand the problem: We need to identify the type of sampling method used in the given scenario where Gallup surveys 500 randomly selected men and 500 randomly selected women to test for gender differences in online purchasing behavior.
Review the definitions of sampling methods: Systematic sampling involves selecting every nth individual, convenience sampling involves selecting individuals who are easiest to reach, stratified sampling involves dividing the population into subgroups and sampling from each subgroup, cluster sampling involves dividing the population into clusters and sampling entire clusters, and simple random sampling involves selecting individuals randomly from the entire population.
Analyze the scenario: In this case, the population is divided into two distinct subgroups based on gender (men and women). From each subgroup, a random sample of 500 individuals is selected.
Identify the sampling method: Since the population is divided into subgroups (strata) and random samples are taken from each subgroup, this method aligns with the definition of stratified sampling.
Conclude: The sampling method used in this scenario is stratified sampling, as it involves dividing the population into strata (men and women) and taking random samples from each stratum.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Stratified Sampling
Stratified sampling involves dividing a population into subgroups, or strata, that share similar characteristics, and then taking a random sample from each stratum. This method ensures that each subgroup is adequately represented in the sample, which can lead to more accurate and reliable results. In the given question, the population is divided into two strata: men and women, and a random sample is taken from each.
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Sampling Distribution of Sample Proportion
Random Selection
Random selection is a process used in sampling where each member of a population has an equal chance of being chosen. This method helps to eliminate bias and ensures that the sample is representative of the entire population. In the context of the question, 500 men and 500 women are randomly selected, ensuring that the sample is unbiased and representative of the gender groups.
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Intro to Random Variables & Probability Distributions
Sampling Bias
Sampling bias occurs when certain members of a population are more likely to be included in a sample than others, leading to a sample that is not representative of the population. Stratified sampling, as used in the question, helps to minimize sampling bias by ensuring that distinct subgroups (men and women) are proportionally represented, thus providing a more accurate reflection of the population's characteristics.
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Sampling Distribution of Sample Proportion
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