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$$ \begin{array}{lccc} \hline \text { Highest education } & \text { Total population } & \text { In labor force } & \text { Employed } \\ \text { Didn't finish high } & 27,669 & 12,470 & 11,408 \\ \text { school } & & & \\ \begin{array}{c} \text { High school but no } \\ \text { college } \end{array} & 59,860 & 37,834 & 35,857 \\ \begin{array}{c} \text { Less than bachelor's } \\ \text { degree } \end{array} & 47,556 & 34,439 & 32,977 \\ \text { College graduate } & 51,582 & 40,390 & 39,293 \\ \hline \end{array} $$ Unemployment (1.1) Find the unemployment rate for people with each level of education. How does the unemployment rate change with education?

Short Answer

Expert verified
Unemployment decreases with higher education levels.

Step by step solution

01

Understand the formula for unemployment rate

The unemployment rate is calculated as the percentage of the labor force that is not employed. The formula is: \[ \text{Unemployment Rate} = \left(\frac{\text{Labor Force} - \text{Employed}}{\text{Labor Force}}\right) \times 100 \] where 'Labor Force' includes everyone who is available and looking for work, and 'Employed' is those who have jobs.
02

Calculate unemployment rate for 'Didn't finish high school'

Using the formula: \[ \text{Unemployment Rate} = \left(\frac{12,470 - 11,408}{12,470}\right) \times 100 \] The result is: \( \approx 8.51\% \).
03

Calculate unemployment rate for 'High school but no college'

Substitute the relevant values into the formula: \[ \text{Unemployment Rate} = \left(\frac{37,834 - 35,857}{37,834} \right) \times 100 \] The result is: \( \approx 5.22\% \).
04

Calculate unemployment rate for 'Less than bachelor's degree'

Use the formula with the values provided: \[ \text{Unemployment Rate} = \left(\frac{34,439 - 32,977}{34,439} \right) \times 100 \] The result is: \( \approx 4.25\% \).
05

Calculate unemployment rate for 'College graduate'

Substitute 'College graduate' values into the formula: \[ \text{Unemployment Rate} = \left(\frac{40,390 - 39,293}{40,390} \right) \times 100 \] The result is: \( \approx 2.71\% \).
06

Compare and analyze the unemployment rates

As education level increases, the unemployment rate decreases: \( 8.51\% \) for those who didn't finish high school, \( 5.22\% \) for high school graduates with no college, \( 4.25\% \) for those with some college but less than a bachelor's degree, and \( 2.71\% \) for college graduates.

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Key Concepts

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

Labor Force
When we talk about the labor force, we're referring to the segment of the population that is actively working or actively looking for work. This includes both employed individuals and those seeking employment. The labor force is a crucial indicator of an economy's active work potential.
  • **Participants**: Everyone over the age of 16 who is working or looking to work forms part of the labor force.
  • **Exclusions**: It does not include retirees, students who do not work, or others who are not seeking employment.
  • **Implications**: A larger labor force implies more potential employment opportunities and economic activities.

Understanding the labor force helps in grasping the dynamics of employment statistics, particularly when measuring unemployment rates. Knowing the size and composition of the labor force can give insights into how different sectors may be performing or struggling.
Educational Attainment
Educational attainment refers to the highest level of education an individual has completed. This is a critical concept when examining labor and employment statistics because it is often linked to job opportunities and economic stability.
  • **High Education Levels**: Typically associated with higher employment rates and lower unemployment rates.
  • **Less Education**: Often connected with restricted job opportunities and higher unemployment rates.
  • **Societal Benefits**: Investments in education generally result in a more skilled labor force, boosting productivity and innovation.

In the data provided, the trend is clear: as educational attainment increases from not finishing high school to being a college graduate, the unemployment rate decreases. Thus, education can significantly impact employability and overall economic health.
Employment Statistics
Employment statistics are essential for evaluating the health of an economy. These numbers describe how many people are working and how many are seeking work, often focusing on the unemployment rate, employment rate, and labor force participation.
  • **Employment Rate**: The proportion of the population that is employed.
  • **Unemployment Rate**: The percentage of the labor force not currently employed but actively seeking work.
  • **Trends Observed**: Certain trends, such as those related to educational attainment and employment, can provide insights for policy and economic strategy.

In practice, understanding employment statistics helps policymakers create initiatives designed to foster job creation and economic stability. By measuring and comparing the employment rates across various groups, such as those with different education levels, governments and organizations can better tailor their strategies to address economic challenges.

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Most popular questions from this chapter

Scores on the mathematics part of the SAT exam in a recent year were roughly Normal with mean 515 and standard deviation 114 . You choose an SRS of 100 students and average their SAT Math scores. Suppose that you do this many, many times. Which of the following are the mean and standard deviation of the sampling distribution of \(\bar{x} ?\) (a) \(\quad\) Mean \(=515, \mathrm{SD}=114\) (b) \(\quad\) Mean \(=515, \mathrm{SD}=114 / \sqrt{100}\) (c) \(\quad\) Mean \(=515 / 100, \mathrm{SD}=114 / 100\) (d) \(\quad\) Mean \(=515 / 100, \mathrm{SD}=114 / \sqrt{100}\) (e) Cannot be determined without knowing the 100 scores.

On-time shipping A mail-order company advertises that it ships \(90 \%\) of its orders within three working days. You select an SRS of 100 of the 5000 orders received in the past week for an audit. The audit reveals that 86 of these orders were shipped on time. (a) If the company really ships \(90 \%\) of its orders on time, what is the probability that the proportion in an SRS of 100 orders is 0.86 or less? Show your work. (b) A critic says, "Aha! You claim \(90 \%\), but in your sample the on-time percentage is lower than that. So the \(90 \%\) claim is wrong." Explain in simple language why your probability calculation in (a) shows that the result of the sample does not refute the \(90 \%\) claim.

What does the CLT say? Asked what the central limit theorem says, a student replies, "As you take larger and larger samples from a population, the histogram of the sample values looks more and more Normal." Is the student right? Explain your answer.

Do you go to church? The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week. Let \(\hat{p}\) be the proportion of people in the sample who attended church. A newspaper report claims that \(40 \%\) of all U.S. adults went to church last week. Suppose this claim is true. (a) What is the mean of the sampling distribution of \(\hat{p} ?\) Why? (b) Find the standard deviation of the sampling distribution of \(\hat{p}\). Check to see if the \(10 \%\) condition is met. (c) Is the sampling distribution of \(\hat{p}\) approximately Normal? Check to see if the Large Counts condition is met. (d) Of the poll respondents, \(44 \%\) said they did attend church last week. Find the probability of obtaining a sample of 1785 adults in which \(44 \%\) or more say they attended church last week if the newspaper report's claim is true. Does this poll give convincing evidence against the claim? Explain.

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