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.2b
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€
b. Is the value of 85% a statistic or a parameter?

1
Understand the difference between a statistic and a 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.
Identify the sample and the population in the context of the problem: The sample consists of the 1148 subjects who responded to the USA Today question, while the population would be all individuals who have an opinion on whether guys should pay for the first date.
Determine whether the 85% value describes the sample or the population: Since the 85% value is derived from the responses of the 1148 subjects, it describes the sample.
Conclude whether the 85% value is a statistic or a parameter: Since the 85% value describes a characteristic of the sample, it is a statistic.
Reflect on the implications: Understanding whether a value is a statistic or a parameter helps in determining the scope and applicability of the data, as statistics are used to infer information about the population from the sample.

This video solution was recommended by our tutors as helpful for the problem above
Video duration:
2mPlay a video:
Was this helpful?
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 85% represents a statistic because it is derived from a sample of 1148 respondents, not the entire population of people who might have an opinion on the topic.
Recommended video:
Guided course
Parameters vs. Statistics
Sample
A sample is a subset of individuals from a larger population, selected to represent the population in a study. In this scenario, the 1148 subjects who responded to the USA Today question form a sample of the broader population of people who might have an opinion on whether guys should pay for the first date.
Recommended video:
Sampling Distribution of Sample Proportion
Population
A population includes all members of a defined group that we are studying or collecting information on for statistical purposes. In this case, the population would be all individuals who have an opinion on the question posed by USA Today, not just those who responded to the survey.
Recommended video:
Population Standard Deviation Known
Watch next
Master Introduction to Statistics Channel with a bite sized video explanation from Patrick
Start learning