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Chapter 4: Problem 30

The population of Hawaii is \(22.7 \%\) white, \(1.5 \%\) African-American, \(37.7 \%\) Asian, \(0.2 \%\) Native American/Alaskan, \(9.46 \%\) Native Hawaiian/Pacific Islander, \(8.9 \%\) Hispanic, \(19.4 \%\) two or more races, and \(0.14 \%\) some other. Choose one Hawaiian resident at random. What is the probability that he/she is a Native Hawaiian or Pacific Islander? Asian? White?

Short Answer

Expert verified
Native Hawaiian/Pacific Islander: 9.46%, Asian: 37.7%, White: 22.7%.

Step by step solution

01

Understanding the Problem

We are given a breakdown of the population of Hawaii by different racial groups in percentage terms. We need to determine the probability that a randomly chosen resident belongs to specific racial groups. Probability, in this case, is identical to the percentage of the population represented by each group.
02

Calculate Probability for Native Hawaiian/Pacific Islander

To find the probability that a randomly chosen person is a Native Hawaiian/Pacific Islander, we refer to the percentage given in the problem for this group, which is 9.46%.
03

Calculate Probability for Asian

To find the probability that a randomly chosen person is Asian, we look at the percentage of the Asian population, which is 37.7%.
04

Calculate Probability for White

To determine the probability that a randomly selected person is White, we use the percentage provided, which is 22.7%.

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Key Concepts

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

Understanding Population Demographics
Population demographics refer to the statistical characteristics of a population. In the context of the exercise, understanding the demographics of Hawaii means breaking down the entire population by racial groups and their respective percentages. This information is crucial for many applications, such as urban planning, healthcare provision, and educational needs. When looking at demographics, you can gain insights into the diversity within a region and the different communities that make up its population. Key Points to Remember:
  • Demographics provide a snapshot of population makeup.
  • They help in identifying trends and needs in communities.
  • Statistics such as percentages of various groups offer insights into social and cultural structures.
Being aware of the demographic composition assists in making informed decisions that cater to the needs of all groups within a state or country.
Analyzing Racial Distribution
Racial distribution is the way in which racial groups are spread across a population. In Hawaii, this distribution is given by the provided percentages, summing up to understand the diversity present. Each racial group has a specific proportion within the total population, ranging from large percentages such as the Asian population at 37.7% to smaller ones like some other races at 0.14%. Details to Consider in Racial Distribution:
  • Percentages denote how substantial or minor a group is within the population.
  • A higher percentage for a racial group suggests greater representation within the demographics.
  • Understanding distribution helps to foster cultural understanding and inclusivity.
By analyzing racial distribution, one can appreciate the unique cultural landscape and challenges that may arise in policies affecting diverse communities.
Mastering Percentage Calculations in Probability
Calculating probability based on percentage involves straightforward arithmetic that matches the percentage directly to the likelihood of an event. Since probability in this exercise directly equates to the given percentages, knowing how to interpret these is key. Let's break it down: Steps to Calculate Probability Using Percentages:
  • The percentage itself is the answer, provided it鈥檚 expressed between 0 and 1. Eg., a 9.46% chance becomes 0.0946 probability.
  • This numeric expression indicates the likelihood of randomly selecting an individual from that group.
  • Percentages sum up to show the total population makeup, using them as probabilities offers a simplified understanding.
Grasping percentage structures aids in making accurate predictions and decisions, particularly for planning purposes based on population data. Remember, transforming a percentage to probability involves moving the decimal two places to the left.

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