Question 1

Which of the following best describes the process involved in conducting a statistical study?

Accepted Answer

Prepare, analyze, and conclude.

Question 2

A researcher wants to know the average height of all university students. She measures the heights of 200 randomly selected students. 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 survey where people call in to a radio show to express their opinion.

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 to participate.

Question 5

In a clinical trial, a new drug reduces blood pressure by an average of $$1.2$$ mmHg, and the result is statistically significant. Which of the following statements is most accurate?

Accepted Answer

The drug is statistically significant, but may not be practically significant.

Question 6

Which of the following best defines 'data' in statistics?

Accepted Answer

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

Question 7

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

Accepted Answer

Loaded question.

Question 8

A study reports that 120% of people surveyed prefer product A over product B. What is the main issue with this result?

Accepted Answer

The percentage exceeds 100%, which is misleading.

Question 9

Which of the following is an example of a census?

Accepted Answer

Measuring the heights of all students in a school.

Question 10

A researcher collects data by asking participants to report their own weights. Which potential pitfall is most relevant here?

Accepted Answer

Sample data reported instead of measured.

Question 11

Which of the following best describes 'statistical significance'?

Accepted Answer

A result that is unlikely to have occurred by chance, typically with a probability of 5% or less.

Question 12

A survey is conducted by mailing questionnaires to 1,000 people, but only 100 respond. What is the main concern with this survey?

Accepted Answer

Low response rate, which may lead to bias.

Question 13

Which of the following is NOT a step in the statistical process described in the study materials?

Accepted Answer

Hypothesize.

Question 14

A poll asks, 'How satisfied are you with your current job?' followed by, 'How satisfied are you with your salary?' What potential pitfall might affect the results?

Accepted Answer

Order of questions.

Question 15

Which of the following best describes the science of statistics?

Accepted Answer

The science of planning studies and experiments; obtaining, organizing, summarizing, presenting, analyzing, and interpreting data to draw conclusions.

Question 16

A study finds that a new teaching method increases test scores by an average of $$0.5$$ points out of $$100$$, with $$p \u003c 0.05. $$What is the best interpretation?

Accepted Answer

The result is statistically significant but may lack practical significance.

Question 17

Which of the following is a key reason why random sampling is preferred over voluntary response sampling?

Accepted Answer

Random sampling reduces bias and increases the likelihood that the sample represents the population.

Question 18

In the context of statistical studies, what is a 'sample'?

Accepted Answer

A subcollection of members selected from a population.

Question 19

A researcher wants to estimate the average commute time for all employees at a company. She surveys only those who volunteer to participate. What is the main issue with this sampling method?

Accepted Answer

It is a voluntary response sample, which may be biased.

Question 20

Which of the following is an example of practical significance without statistical significance?

Accepted Answer

A new medication reduces the risk of a rare disease by 0.01% in a very small sample, with $$p = 0.2.$$

Chapter 1: Introduction to Statistics – Key Concepts and Critical Thinking

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