ile C:/Users/anl 8. As was discussed in the Analytics in Action from Chapter 2, the U.S. Census Bureau is a leading source of quantitative data related to the people and economy of the United States. The crosstabulation below represents the number of households (1,000s) and the household income by the highest level of education for the head of household (U.S. Census Bureau web site, 2013). Use this crosstabulation to answer the following questions. Household Income $25,000 to $50,000 to $100,000 $99,999 Highest Level of Education Under Total and Over $49,999 $25,000 32,773 9,441 3,482 9,880 9,970 High school graduate Bachelor's degree Master's degree Doctoral degree 7,817 22,131 4,164 7,666 2,484 4,094 9,003 3,019 685 1,205 422 1,076 1,737 79 160 15,499 20,548 13,128 16,469 65,644 Total a. Develop a joint probability table. b. What is the probability the head of one of these households has a master's degree or higher education? c. What is the probability a household is headed by someone with a high school diploma earning $100,000 or more? d. What is the probability one of these households has an income below $25,000? e. What is the probability a household is headed by someone with a bachelor's degree earning less than $25,000? f. Are household income and educational level independent?
ile C:/Users/anl 8. As was discussed in the Analytics in Action from Chapter 2, the U.S. Census Bureau is a leading source of quantitative data related to the people and economy of the United States. The crosstabulation below represents the number of households (1,000s) and the household income by the highest level of education for the head of household (U.S. Census Bureau web site, 2013). Use this crosstabulation to answer the following questions. Household Income $25,000 to $50,000 to $100,000 $99,999 Highest Level of Education Under Total and Over $49,999 $25,000 32,773 9,441 3,482 9,880 9,970 High school graduate Bachelor's degree Master's degree Doctoral degree 7,817 22,131 4,164 7,666 2,484 4,094 9,003 3,019 685 1,205 422 1,076 1,737 79 160 15,499 20,548 13,128 16,469 65,644 Total a. Develop a joint probability table. b. What is the probability the head of one of these households has a master's degree or higher education? c. What is the probability a household is headed by someone with a high school diploma earning $100,000 or more? d. What is the probability one of these households has an income below $25,000? e. What is the probability a household is headed by someone with a bachelor's degree earning less than $25,000? f. Are household income and educational level independent?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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Transcribed Image Text:ile C:/Users/anl
8. As was discussed in the Analytics in Action from Chapter 2, the U.S. Census Bureau is a
leading source of quantitative data related to the people and economy of the United States.
The crosstabulation below represents the number of households (1,000s) and the household
income by the highest level of education for the head of household (U.S. Census Bureau
web site, 2013). Use this crosstabulation to answer the following questions.
Household Income
$25,000 to $50,000 to $100,000
$99,999
Highest Level
of Education
Under
Total
and Over
$49,999
$25,000
32,773
9,441
3,482
9,880
9,970
High school graduate
Bachelor's degree
Master's degree
Doctoral degree
7,817
22,131
4,164
7,666
2,484
4,094
9,003
3,019
685
1,205
422
1,076
1,737
79
160
15,499
20,548
13,128
16,469
65,644
Total
a. Develop a joint probability table.
b. What is the probability the head of one of these households has a master's degree
or higher education?
c. What is the probability a household is headed by someone with a high school
diploma earning $100,000 or more?
d. What is the probability one of these households has an income below $25,000?
e. What is the probability a household is headed by someone with a bachelor's degree
earning less than $25,000?
f. Are household income and educational level independent?
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