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 1.2.4.2
Textbook Question
E-Cigarette Survey In a survey of 36,000 adults, 3.7% said that they regularly use E-cigarettes (based on data from the National Center for Health Statistics)
b. Is the value of 3.7% a statistic or parameter?

1
Understand the difference between a statistic and a parameter: A statistic is a numerical measurement describing some characteristic of a sample, while a parameter is a numerical measurement describing some characteristic of a population.
Identify the group being referred to in the problem: The problem mentions a survey of 36,000 adults, which is a sample of the larger population of all adults.
Determine what the 3.7% represents: The 3.7% is the proportion of the sample (36,000 adults) who said they regularly use E-cigarettes.
Since the 3.7% is derived from a sample (36,000 adults) and not the entire population of all adults, it is a statistic.
Conclude that the value of 3.7% is a statistic because it describes a characteristic of a sample, not the entire population.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Statistic vs. Parameter
A statistic is a numerical value that describes a characteristic of a sample, while a parameter is a numerical value that describes a characteristic of a population. In this context, the 3.7% figure represents the proportion of E-cigarette users among the surveyed adults, making it a statistic since it is derived from a sample of the larger population.
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Sample Size
Sample size refers to the number of observations or data points collected in a survey or study. A larger sample size, like the 36,000 adults in this survey, generally leads to more reliable and valid results, reducing the margin of error and increasing the confidence in the findings about the population.
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Sampling Distribution of Sample Proportion
Descriptive Statistics
Descriptive statistics are methods for summarizing and organizing data to provide a clear overview of its main features. The 3.7% figure is an example of descriptive statistics, as it summarizes the proportion of E-cigarette users in the sample, allowing for easy interpretation of the data without making inferences about the entire population.
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