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, while a sample is a subcollection selected from the population.

Question 2

A researcher wants to estimate the average amount of time college students spend on social media per day. She surveys 200 randomly selected students from her university. In this context, what is the population?

Accepted Answer

All college students at her university.

Question 3

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

Accepted Answer

A radio station asks listeners to call in and vote for their favorite song.

Question 4

Suppose a study finds that a new medication reduces the risk of a disease from 10% to 9.8% in a large sample, and this difference is statistically significant. Which of the following best describes this result?

Accepted Answer

The result is statistically significant but may lack practical significance.

Question 5

Which of the following statements about statistical significance is correct?

Accepted Answer

Statistical significance is achieved if the likelihood of an event occurring by chance is 5% or less.

Question 6

A survey asks, 'Do you agree that the new recycling program is a great idea?' Which potential pitfall in data collection does this question illustrate?

Accepted Answer

Loaded question

Question 7

Which of the following is the best example of a misleading percentage?

Accepted Answer

Reporting that 120% of students passed an exam.

Question 8

A study reports that 67% of 186,000 viewers who called in to a TV show believe the UN should move out of the United States, while a random sample of 500 people found only 38% agreed. What is the most likely explanation for the difference?

Accepted Answer

The voluntary response sample is likely biased.

Question 9

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

Accepted Answer

Prepare, analyze, and conclude.

Question 10

If a researcher collects data by asking people to estimate their own weight, which potential pitfall is most likely to affect the results?

Accepted Answer

Sample data reported instead of measured

Question 11

Which of the following is NOT a characteristic of a good statistical analysis?

Accepted Answer

Relying solely on complicated calculations

Question 12

A researcher wants to know if there is a relationship between the number of registered pleasure boats and manatee fatalities in Florida. Which step of the statistical process does this question best represent?

Accepted Answer

Prepare

Question 13

Which of the following is an example of nonresponse in a survey?

Accepted Answer

A respondent refuses to participate in the survey.

Question 14

Suppose you want to estimate the average height of all adult males in a city. Which of the following would be the best sampling method?

Accepted Answer

Randomly selecting adult males from the city’s population list.

Question 15

Which of the following equations correctly represents the concept of statistical significance at the 5% level?

Accepted Answer

$$P(	ext{event by chance}) \leq 0.05$$

Question 16

A study finds that 98 out of 100 random births are girls. Which of the following best describes this result?

Accepted Answer

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

Question 17

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

Accepted Answer

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

Question 18

Which of the following is a key reason why voluntary response samples are often unreliable?

Accepted Answer

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

Question 19

If a survey asks, 'How much do you agree with the excellent new policy?' and places this question first, which two pitfalls might be present?

Accepted Answer

Loaded question and order of questions

Introduction to Statistics: Foundations and Critical Thinking

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