The National Health and Nutrition Examination Survey is conducted each year and contains a variety of measurements of individuals as well as an extensive questionnaire. In 2003, the questionnaire was completed by 5041 individuals, and 1131 indicated that they smoke cigarettes. In 2018, the questionnaire was completed by 6401 individuals, and 916 indicated that they smoke cigarettes. Construct a 95% confidence interval to estimate the difference between the two population proportions. c) Find the 95% confidence interval estimate of the difference of the population proportions, (p1−p2). Follow rounding rules and use appropriate notation. d) Based on the confidence interval estimate, is there a significant difference between the two proportions? Why or why not? e) Give an interpretation of the results in terms of the original problem.
The National Health and Nutrition Examination Survey is conducted each year and contains a variety of measurements of individuals as well as an extensive questionnaire. In 2003, the questionnaire was completed by 5041 individuals, and 1131 indicated that they smoke cigarettes. In 2018, the questionnaire was completed by 6401 individuals, and 916 indicated that they smoke cigarettes. Construct a 95% confidence interval to estimate the difference between the two population proportions.
c) Find the 95% confidence
d) Based on the confidence interval estimate, is there a significant difference between the two proportions? Why or why not?
e) Give an interpretation of the results in terms of the original problem.
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