Question 1

Which of the following best describes the difference between a population and a sample in statistics?

Accepted Answer

A population is the complete collection of all data being considered, while a sample is a subcollection selected from the population.

Question 2

A researcher wants to estimate the average height of all university students. She randomly selects 200 students and measures their heights. In this context, what is the population?

Accepted Answer

All university students.

Question 3

Which of the following is an example of a voluntary response sample?

Accepted Answer

A television show asks viewers to call in and vote on an issue.

Question 4

Why are voluntary response samples generally considered unreliable for making conclusions about a population?

Accepted Answer

They are likely to be biased because respondents choose whether to participate.

Question 5

In a study, 98 out of 100 births result in girls. According to statistical significance, why is this result considered significant?

Accepted Answer

Because such an extreme outcome is unlikely to occur by random chance (less than 5% probability).

Question 6

Which of the following best illustrates the difference between statistical significance and practical significance?

Accepted Answer

A result can be statistically significant but not practically significant if the effect is too small to matter in practice.

Question 7

A survey asks, 'Do you agree that the new recycling program is beneficial?' What type of potential pitfall does this question illustrate?

Accepted Answer

Loaded question

Question 8

Which of the following is the correct sequence of steps in conducting a statistical study?

Accepted Answer

Prepare, Analyze, Conclude

Question 9

A researcher reports that 120% of survey respondents prefer product A over product B. What is the main issue with this result?

Accepted Answer

Percentages over 100% are not justified in this context.

Question 10

Which of the following best describes a census in statistics?

Accepted Answer

A study that collects data from every member of a population.

Question 11

Suppose a study finds a statistically significant difference in average blood pressure between two groups, but the difference is only 0.5 mmHg. What is the best interpretation?

Accepted Answer

The result is statistically significant but may not be practically significant.

Question 12

Which of the following is NOT a recommended practice when collecting sample data?

Accepted Answer

Using loaded questions to get more responses.

Question 13

A survey is sent to 1,000 people, but only 100 respond. What is the main concern with the results?

Accepted Answer

The low response rate may introduce bias.

Question 14

Which of the following best describes the term 'data' in statistics?

Accepted Answer

Collections of observations, such as measurements, genders, or survey responses.

Question 15

If a study uses a sample to make inferences about a population, which statistical concept is being applied?

Accepted Answer

Inferential statistics

Question 16

Which of the following is a potential pitfall when interpreting survey results?

Accepted Answer

Reporting sample data instead of measured data

Question 17

A study finds that 67% of 186,000 voluntary respondents want the United Nations to move out of the United States, while a random sample of 500 finds only 38% want the same. What is the best explanation for the difference?

Accepted Answer

The voluntary response sample is likely biased.

Question 18

Which formula would you use to calculate the percentage of a subgroup within a sample?

Accepted Answer

$$	ext{Percentage} = \frac{	ext{Subgroup Size}}{	ext{Sample Size}} 	imes 100$$

Chapter 1: Introduction to Statistics - Structured Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards