A 2017 study of 10,478 Bangladesh children tracked the washing habits of the children's mothers via random survey to understand the relationship of these habits with childhood wasting. The data provided include responses from mothers to two items in this survey. The first variable represents a household's access to food: food secure, mildly food insecure, moderately food insecure, or severely food insecure. The second variable represents the mothers' responses when asked whether they use soap when washing clothes. These researchers wish to study if there is a relationship between washing habits and food security. Assuming all conditions for the chi-squared test of independence were met (which may or may not be true), what is the P-value and conclusion of the test?

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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Food secure
921
5591
Mildly food
insecure
81
200
Moderately
89
203
food insecure
Severely
Food insecure
825
2568
0.0000; the two variables are NOT independent.
1.128; the two variables are independent.
207.28; the two variables are independent.
1.128; the two variables are independent.
0.0000; the two variables are independent.
207.28; the two variables are NOT independent.
Transcribed Image Text:Food secure 921 5591 Mildly food insecure 81 200 Moderately 89 203 food insecure Severely Food insecure 825 2568 0.0000; the two variables are NOT independent. 1.128; the two variables are independent. 207.28; the two variables are independent. 1.128; the two variables are independent. 0.0000; the two variables are independent. 207.28; the two variables are NOT independent.
A 2017 study of 10,478 Bangladesh children tracked the washing habits of the
children's mothers via random survey to understand the relationship of these habits
with childhood wasting. The data provided include responses from mothers to two
items in this survey. The first variable represents a household's access to food: food
secure, mildly food insecure, moderately food insecure, or severely food insecure.
The second variable represents the mothers' responses when asked whether they
use soap when washing clothes. These researchers wish to study if there is a
relationship between washing habits and food security. Assuming all conditions for
the chi-squared test of independence were met (which may or may not be true),
what is the P-value and conclusion of the test?
Did not use
soap
Food secure 921
Used soap
5591
Mildly food
81
insecure
200
Moderately
89
203
food insecure
Severely
825
2568
Food insecure
Transcribed Image Text:A 2017 study of 10,478 Bangladesh children tracked the washing habits of the children's mothers via random survey to understand the relationship of these habits with childhood wasting. The data provided include responses from mothers to two items in this survey. The first variable represents a household's access to food: food secure, mildly food insecure, moderately food insecure, or severely food insecure. The second variable represents the mothers' responses when asked whether they use soap when washing clothes. These researchers wish to study if there is a relationship between washing habits and food security. Assuming all conditions for the chi-squared test of independence were met (which may or may not be true), what is the P-value and conclusion of the test? Did not use soap Food secure 921 Used soap 5591 Mildly food 81 insecure 200 Moderately 89 203 food insecure Severely 825 2568 Food insecure
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