A study was conducted among n = 500 individuals, with 300 smokers and 200 non-smokers included. The objective was to test whether the allergy symptoms depend on their smoking preferences. A two-by-two contingency table summarized observed frequencies as follows. Group Allergic No Allergy Total Smokers 165 135 300 Non-Smokers 85 115 200 Total 250 250 500 At the significance level a = 0.01, test whether smoking habits and allergic symptoms are related to each other. 1. Evaluate estimated expected counts and place them into the table below. 2. Derive the test statistic for testing homogeneity hypothesis 3. Formulate the rejection rule and make a conclusion whether there is dependence between smoking habits and allergy symptoms. Estimated Expected Counts Group Allergic No Allergy Total Smokers 300 Non-Smokers 200 Total 250 250 500 Solution 6.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A study was conducted among n = 500 individuals, with 300 smokers and 200 non-smokers included. The
objective was to test whether the allergy symptoms depend on their smoking preferences. A two-by-two
contingency table summarized observed frequencies as follows.
Group
Allergic No Allergy
Total
Smokers
165
135
300
Non-Smokers
85
115
200
Total
250
250
500
At the significance level a = 0.01, test whether smoking habits and allergic symptoms are related to each
other.
1. Evaluate estimated expected counts and place them into the table below.
2. Derive the test statistic for testing homogeneity hypothesis
3. Formulate the rejection rule and make a conclusion whether there is dependence between smoking
habits and allergy symptoms.
Estimated Expected Counts
Group
Allergic
No Allergy
Total
Smokers
300
Non-Smokers
200
Total
250
250
500
Solution
Transcribed Image Text:A study was conducted among n = 500 individuals, with 300 smokers and 200 non-smokers included. The objective was to test whether the allergy symptoms depend on their smoking preferences. A two-by-two contingency table summarized observed frequencies as follows. Group Allergic No Allergy Total Smokers 165 135 300 Non-Smokers 85 115 200 Total 250 250 500 At the significance level a = 0.01, test whether smoking habits and allergic symptoms are related to each other. 1. Evaluate estimated expected counts and place them into the table below. 2. Derive the test statistic for testing homogeneity hypothesis 3. Formulate the rejection rule and make a conclusion whether there is dependence between smoking habits and allergy symptoms. Estimated Expected Counts Group Allergic No Allergy Total Smokers 300 Non-Smokers 200 Total 250 250 500 Solution
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