MATH 321 Lecture Notes - Lecture 81: Gallup (Company), Confidence Interval

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The population of adult americans exceeded 100 million in 2002 and 2013, so the sample size is definitely less than 5% of the population size. Example- constructing a confidence interval for the differences between two population proportions. The gallup organization surveyed 1100 adult americans on may6-9, 2002, and conducted an independent survey of 1100 adult americans on may 2-7,2013. In both surveys, they asked the following: right now, do you think the state of moral values in the country as a whole is getting better or getting worse? . On may 2-7, 2013, 793 of the 1100 surveyed responded that the state of moral values is getting worse; on may 6-9, 2002, 737 of the 1100 surveyed responded that the state of moral values is getting worse. Construct and interpret a 90% confidence interval for the differences between the two population proportions.