3. A survey of a sample of 637 people is conducted. The survey's respondents are classified according to percent of income devoted to housing cost and residence type. The results are given in the table below. Apartment Duplex Single Family Total < 10% 40 12 52 104 10-20% 133 55 199 387 > 20% 47 18 81 146 Total 220 85 332 637 When answering the following questions, please round your answers to one decimal place. What is the probability that a randomly selected person from the survey: a. spends 10-20% of their income on housing? b. lives in a single-family residence or spends more than 20% of their income on housing? Continuing with the previous problem, test whether spending 10-20% of an individual's income on housing and living in a single-family residence are independent. For the purposes of this test, a difference of 0.2% is sufficient to consider two probabilities to be different from each other. Please show your work.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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3. A survey of a sample of 637 people is conducted. The survey's respondents are classified
according to percent of income devoted to housing cost and residence type. The results are
given in the table below.
Apartment
Duplex
Single Family
Total
< 10%
40
12
52
104
10-20%
133
55
199
387
> 20%
47
18
81
146
a. spends 10-20% of their income on housing?
Total
220
85
332
637
When answering the following questions, please round your answers to one decimal place.
What is the probability that a randomly selected person from the survey:
b. lives in a single-family residence or spends more than 20% of their income on
housing?
Continuing with the previous problem, test whether spending 10-20% of an individual's
income on housing and living in a single-family residence are independent. For the purposes
of this test, a difference of 0.2% is sufficient to consider two probabilities to be different
from each other. Please show your work.
Transcribed Image Text:3. A survey of a sample of 637 people is conducted. The survey's respondents are classified according to percent of income devoted to housing cost and residence type. The results are given in the table below. Apartment Duplex Single Family Total < 10% 40 12 52 104 10-20% 133 55 199 387 > 20% 47 18 81 146 a. spends 10-20% of their income on housing? Total 220 85 332 637 When answering the following questions, please round your answers to one decimal place. What is the probability that a randomly selected person from the survey: b. lives in a single-family residence or spends more than 20% of their income on housing? Continuing with the previous problem, test whether spending 10-20% of an individual's income on housing and living in a single-family residence are independent. For the purposes of this test, a difference of 0.2% is sufficient to consider two probabilities to be different from each other. Please show your work.
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