Q: If 219 out of 1458 men in a survey responded with 'rarely, if ever' to a question about leisure time, what percentage of men does this represent?

$$\frac{219}{1458} \times 100 \approx 15.02\%$$

Question 1

A researcher conducts an online poll with 734 users and reports that 68% of them prefer Coca-Cola over Pepsi. Which of the following best describes a potential issue with this study?

Accepted Answer

The sample may not be representative of the general population.

Question 2

In a survey, 1543 women were asked how often they get leisure time in a typical week. If 19% responded with 'rarely, if ever,' what is the exact number of women who gave this response?

Accepted Answer

$$1543 	imes 0.19 = 293.17$$

Question 3

Suppose a company surveys 1020 adults in New York City and finds that 44% say they wash their hands after riding public transportation. What is the sample in this study?

Accepted Answer

The 1020 adults surveyed in New York City

Question 4

Is the value 44% from the previous question a statistic or a parameter?

Accepted Answer

Statistic

Question 5

What is the level of measurement of the value 44% (from the hand-washing survey)?

Accepted Answer

Ratio

Question 6

A friend rated the movie Top Gun: Maverick with 5 stars on a scale of 5 stars. What is the level of measurement for this rating?

Accepted Answer

Ordinal

Question 7

For a statistics project, students record the last four digits of their Social Security numbers. What is the level of measurement, and why is it inappropriate to calculate the mean of these digits?

Accepted Answer

Nominal; because the digits are identifiers and do not have meaningful numerical relationships.

Question 8

A survey is given to 906 major league baseball players asking if they write with the same hand they use to throw a baseball. 104 players respond. Is this an experiment or an observational study?

Accepted Answer

Observational study, because no treatment or intervention was applied.

Question 9

A professor samples from his statistics class by identifying groups of males and females, then randomly selecting five students from each group. What type of sampling is this?

Accepted Answer

Stratified sampling

Question 10

In a study for back pain treatments, 731 subjects are randomly assigned to four different treatment groups. What type of sampling is used?

Accepted Answer

Random sampling

Question 11

A company uses satellites to collect sample data for estimating deforestation rates. It selects a sample of a 10-km-wide square at every 1° intersection of latitude and longitude. What type of sampling is this?

Accepted Answer

Systematic sampling

Question 12

If 219 out of 1458 men in a survey responded with 'rarely, if ever' to a question about leisure time, what percentage of men does this represent?

Accepted Answer

$$\frac{219}{1458} 	imes 100 \approx 15.02\%$$

Question 13

Which of the following is an example of a parameter?

Accepted Answer

The percentage of all adults in New York City who wash their hands after riding public transportation.

Question 14

Which of the following variables is measured at the nominal level?

Accepted Answer

Type of soda preferred (Coca-Cola, Pepsi, Sprite, etc.)

Question 15

A researcher wants to know if there is a relationship between gender and frequency of leisure time. Which statistical method is most appropriate?

Accepted Answer

Chi-square test for independence

Question 16

Which of the following best describes why the mean of Social Security numbers is not meaningful?

Accepted Answer

Social Security numbers are identifiers without numerical meaning.

Question 17

If a survey result is based on a convenience sample, which of the following is most likely to be true?

Accepted Answer

The results may not generalize to the entire population.

Question 18

Which of the following is an example of an observational study?

Accepted Answer

Surveying baseball players about their handedness.

Question 19

Which of the following best describes a cluster sampling method?

Accepted Answer

Dividing the population into groups, randomly selecting some groups, and including all members from those groups in the sample.

Fundamental Concepts in Statistics: Study Guide with Examples and Applications

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