Question 1

Which of the following best describes the main purpose of statistics as a science?

Accepted Answer

To plan studies and experiments, obtain data, and organize, summarize, present, analyze, and interpret those data to draw conclusions.

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 can choose to call in and give their opinion after a TV show.

Question 4

In a clinical trial, a new drug reduces blood pressure by an average of 1 mmHg, and the result is statistically significant. Which of the following statements is most accurate?

Accepted Answer

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

Question 5

Which of the following best explains why a random sample is generally preferred over a voluntary response sample?

Accepted Answer

Random samples reduce the likelihood of bias and are more representative of the population.

Question 6

A survey asks, 'Do you support our amazing company's efforts to improve the environment?' What is the main issue with this question?

Accepted Answer

It is a loaded question that may bias the responses.

Question 7

Suppose a study finds that 98 out of 100 babies born in a hospital are girls. According to statistical significance, what can be concluded?

Accepted Answer

This result is statistically significant because such an extreme outcome is unlikely by chance.

Question 8

Which of the following is a potential pitfall when analyzing data?

Accepted Answer

Using loaded questions in surveys.

Question 9

A company reports that their sales increased by 150% last year. What should you be cautious about when interpreting this percentage?

Accepted Answer

Percentages over 100% may be misleading if not properly explained.

Question 10

Which of the following steps is NOT part of the statistical process described in the study materials?

Accepted Answer

Guess

Question 11

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

Accepted Answer

There is a high risk of nonresponse bias.

Question 12

Which of the following best defines a census in statistics?

Accepted Answer

The collection of data from every member of a population.

Question 13

In the context of statistical studies, what is the main goal of the 'analyze' step?

Accepted Answer

To graph and explore the data, and apply statistical methods.

Question 14

A researcher asks participants to report their own weights rather than measuring them. What is a potential issue with this approach?

Accepted Answer

Sample data reported instead of measured can be less reliable.

Question 15

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

Accepted Answer

A new medication reduces headaches by 10 minutes on average, but the result is not statistically significant.

Question 16

Which of the following best describes a sample in statistics?

Accepted Answer

A subcollection of members selected from a population.

Question 17

A survey asks, 'Have you stopped procrastinating?' What is the main issue with this question?

Accepted Answer

It is a loaded question that may force a biased answer.

Question 18

Which of the following is a key aspect of statistical thinking?

Accepted Answer

Making sense of results using critical thinking.

Question 19

In a study, the order of survey questions unintentionally influences the responses. What is this an example of?

Accepted Answer

Order of questions bias.

Question 20

Which of the following is the correct formula for calculating a percentage?

Accepted Answer

$$\frac{	ext{Part}}{	ext{Whole}} 	imes 100\%$$

Introduction to Statistics: Key Concepts and Critical Thinking

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