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The article "Soldiers Hate Their Jobs" (USA TODAY, April 17,2015 ) reported that \(52 \%\) of soldiers surveyed were pessimistic about their future in the military. This statement was based on data collected in 2014 in an annual assessment that all soldiers must take each year. If the population of interest is all soldiers serving in \(2014,\) does the group of soldiers surveyed represent a census or a sample? Is the reported percentage \((52 \%)\) a statistic or a population characteristic?

Short Answer

Expert verified
The group of soldiers surveyed represents a census, as all soldiers in 2014 were required to take the annual assessment. The reported percentage (52%) is a population characteristic, as it describes a characteristic of the entire population of soldiers serving in 2014.

Step by step solution

01

Determine if the group of soldiers surveyed is a census or a sample

A census is when all members of a population are surveyed, while a sample is when a smaller portion of the population is surveyed in order to make conclusions about the entire population. In the given exercise, the data was collected from an annual assessment that all soldiers must take each year. Since every soldier needed to take this assessment, it is considered a census.
02

Identify if the reported percentage (52%) is a statistic or a population characteristic

A statistic is a measure that describes a characteristic of a sample, whereas a population characteristic (also known as a parameter) describes a characteristic of the entire population. In this case, since the percentage was based on a census (all soldiers in 2014), the reported 52% is considered a population characteristic. To summarize, the group of soldiers surveyed represents a census and the reported percentage (52%) is a population characteristic.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Population Characteristic

When discussing data, it's crucial to distinguish between the different types of information we can gather about a group. The concept of a population characteristic, also known as a parameter, refers to a quality or feature that is true for every member of a certain group or population. For example, consider the height of every player on a basketball team - the average height would be a population characteristic if you managed to measure each player's height. Similarly, the percentage reported in the exercise - 52% of soldiers being pessimistic about their future in the military - is a population characteristic because this data came from every soldier serving in 2014 through an annual assessment.

Understanding the subtleties of population characteristics is fundamental. These are normally constants, not susceptible to the chance variability that affects statistics, which derive from samples. When conducting research, clearly identifying whether a value is a statistic or a population characteristic can dramatically influence the conclusions drawn from the data.

Statistic

Moving on from population characteristics, let's delve into the world of statistics. A statistic, by its very definition, is a measure derived from a subset of a population, or a sample, to make inferences about the population as a whole. Statistics are everywhere in our daily lives, from the average number of steps a person walks in a day to the percentage of people preferring one brand of coffee over another. These are not absolute truths about an entire population, but educated estimates based on a sample, which is a smaller group selected from the population.

Statistics are incredibly useful for making predictions or decisions when it's impractical or impossible to assess an entire population. However, unlike population characteristics, statistics are vulnerable to sampling error and may change with different samples or sampling methods. It's important for students to recognize the limitations of statistics and understand that they are subject to variability.

Annual Assessment

An important element in the exercise is the annual assessment. This kind of assessment is a recurring, systematic collection of data that happens on a yearly basis. In many organizations, including the military, these assessments serve to gather vital information for decision-making and strategic planning. Data from annual assessments can be used to measure job satisfaction, effectiveness of training programs, personal development or operational readiness, and much more.

Annual assessments, when mandatory for every individual in a population, like in the case of the soldiers, can provide a comprehensive picture of the population's characteristics. They are invaluable tools, allowing leaders and analysts to track changes over time, set benchmarks, and identify areas needing improvement. In the context of the exercise, because this annual assessment captured responses from all soldiers, it qualifies as a census, and therefore, such comprehensive data gives an extensive insight into the actual state of the soldiers' sentiments.

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Most popular questions from this chapter

The article "Study Points to Benefits of Knee Replacement Surgery Over Therapy Alone" (New York Times, October 21,2015\()\) describes a study to compare two treatments for people with knee pain. In the study, 50 people with arthritis received knee replacement surgery followed by a program of exercise. Another 50 people with arthritis did not have surgery but received the same program of exercise. After 1 year, \(85 \%\) of the people who had surgery and \(68 \%\) of the people who did not have surgery reported pain relief. a. Why is it important to determine if the researchers randomly assigned the subjects to one of the two groups? b. Explain why you think that the researchers might have wanted to include a control group in this study.

The same article referenced in Exercise 1.13 also described a study which concluded that people tend to respond differently to the following questions: Question 1: Would you rather have $$\$ 50$$ today or $$\$ 52$$ in a week? Question 2 : Imagine that you could have $$\$ 52$$ in a week. Would you rather have $$\$ 50$$& now? The article attributes this to the question wording: the second question is worded in a way that makes you feel that you are "losing" $$\$ 2$$ if you take the money now. Do you think that the study which led to the conclusion that people respond differently to these two questions was an observational study or an experiment? Explain why you think this.

Does living in the South cause high blood pressure? Data from a group of 6278 people questioned in the Third National Health and Nutritional Examination Survey between 1988 and 1994 indicate that a greater percentage of Southerners have high blood pressure than do people living in any other region of the United States ("High Blood Pressure Greater Risk in U.S. South, Study Says," January \(6,\) \(2000,\) cnn.com \()\). This difference in rate of high blood pressure was found in every ethnic group, gender, and age category studied. What are two possible reasons we cannot conclude that living in the South causes high blood pressure?

A building contractor has a chance to buy an odd lot of 5000 used bricks at an auction. She is interested in determining the proportion of bricks in the lot that are cracked and therefore unusable for her current project, but she does not have enough time to inspect all 5000 bricks. Instead, she checks 100 bricks to determine whether each is cracked. Describe the population and the sample for this problem.

In many digital environments, users are allowed to choose how they are represented visually online. Does the way in which people are represented online affectonline behavior? This question was examined by the authors of the paper "The Proteus Effect: The Effect of Transformed Self-Representation on Behavior" (Human Communication Research [2007]: 271-290). Participants were randomly assigned either an attractive avatar (a graphical image that represents a person) to represent them or an unattractive avatar. The researchers concluded that when interacting with a person of the opposite gender in an online virtual environment, those assigned an attractive avatar moved significantly closer to the other person than those who had been assigned an unattractive avatar. This difference was attributed to the attractiveness of the avatar. Explain why the researchers would not have been able to reach this conclusion if participants had been allowed to choose one of the two avatars (attractive, unattractive) themselves.

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