E. Problem Solving. 8. Five years ago 3.9% of children in a certain region lived with someone other than a parent. A sociologist wishes to test whether the current proportion is different. Perform the relevant test at 5% level of significance using the following data: in a random sample of 2,759 children, 119 lived with someone other than a parent.

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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E. Problem Solving.
8. Five years ago 3.9% of children in a certain region lived with someone other than
a parent. A sociologist wishes to test whether the current proportion is different.
Perform the relevant test at 5% level of significance using the following data: in a
random sample of 2,759 children, 119 lived with someone other than a parent.
9. Two years ago 72% of household in a certain city regularly participated in recycling
household waste. The city government wishes to investigate whether that proportion
has increased after an intensive campaign promoting recycling. In a survey of 900
households, 674 regularly participate in recycling. Perform the relevant test at 10%
level of significance.
10. A report five years ago stated that 35.5% of all state-owned bridges in a particular
state were "deficient." An advocacy group took a random sample of 100 state-owned
bridges in the states and found out 33 to be currently rated as being "deficient." Test
whether the current proportion of bridges in such condition is 35.5% versus the
alternative that it is different from 35.5%, at 10% level of significance.
Transcribed Image Text:E. Problem Solving. 8. Five years ago 3.9% of children in a certain region lived with someone other than a parent. A sociologist wishes to test whether the current proportion is different. Perform the relevant test at 5% level of significance using the following data: in a random sample of 2,759 children, 119 lived with someone other than a parent. 9. Two years ago 72% of household in a certain city regularly participated in recycling household waste. The city government wishes to investigate whether that proportion has increased after an intensive campaign promoting recycling. In a survey of 900 households, 674 regularly participate in recycling. Perform the relevant test at 10% level of significance. 10. A report five years ago stated that 35.5% of all state-owned bridges in a particular state were "deficient." An advocacy group took a random sample of 100 state-owned bridges in the states and found out 33 to be currently rated as being "deficient." Test whether the current proportion of bridges in such condition is 35.5% versus the alternative that it is different from 35.5%, at 10% level of significance.
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