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A study was done to determine whether there is a relationship between snoring and the risk of heart disease. Among 1,105 snorers in the study, 88 had heart disease, while only 22 of 1,379 nonsnorers had heart disease. (a) Determine a 95% confidence interval that estimates p, – p = difference in proportions of snorers and nonsnorers who have heart disease. (Let p, be the proportion of snorers and p, be the proportion of nonsnorers. Round your answers to three decimal places.) to (b) On the basis of the confidence interval determined in part (a), can we infer that the population proportions with heart disease differ for nonsnorers and snorers? Explain. Yes, because the interval does not cover 0. No, because the interval covers 0. Yes, because the interval covers 0. No, because the interval does not cover 0. You may need to use the appropriate table in the Appendix of Tables to answer this question.

A study was done to determine whether there is a relationship between snoring and the risk of heart disease. Among 1,105 snorers in the study, 88 had heart disease, while only 22 of 1,379 nonsnorers had heart disease. (a) Determine a 95% confidence interval that estimates p, – p = difference in proportions of snorers and nonsnorers who have heart disease. (Let p, be the proportion of snorers and p, be the proportion of nonsnorers. Round your answers to three decimal places.) to (b) On the basis of the confidence interval determined in part (a), can we infer that the population proportions with heart disease differ for nonsnorers and snorers? Explain. Yes, because the interval does not cover 0. No, because the interval covers 0. Yes, because the interval covers 0. No, because the interval does not cover 0. You may need to use the appropriate table in the Appendix of Tables to answer this question.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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A study was done to determine whether there is a relationship between snoring and the risk of heart disease. Among 1,105 snorers in the study, 88 had heart disease, while only 22 of 1,379 nonsnorers had heart disease. (a) Determine a 95% confidence interval that estimates p, – p = difference in proportions of snorers and nonsnorers who have heart disease. (Let p, be the proportion of snorers and p, be the proportion of nonsnorers. Round your answers to three decimal places.) to (b) On the basis of the confidence interval determined in part (a), can we infer that the population proportions with heart disease differ for nonsnorers and snorers? Explain. Yes, because the interval does not cover 0. No, because the interval covers 0. Yes, because the interval covers 0. No, because the interval does not cover 0. You may need to use the appropriate table in the Appendix of Tables to answer this question.
Transcribed Image Text:A study was done to determine whether there is a relationship between snoring and the risk of heart disease. Among 1,105 snorers in the study, 88 had heart disease, while only 22 of 1,379 nonsnorers had heart disease. (a) Determine a 95% confidence interval that estimates p, – p = difference in proportions of snorers and nonsnorers who have heart disease. (Let p, be the proportion of snorers and p, be the proportion of nonsnorers. Round your answers to three decimal places.) to (b) On the basis of the confidence interval determined in part (a), can we infer that the population proportions with heart disease differ for nonsnorers and snorers? Explain. Yes, because the interval does not cover 0. No, because the interval covers 0. Yes, because the interval covers 0. No, because the interval does not cover 0. You may need to use the appropriate table in the Appendix of Tables to answer this question.
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