An American study published in a recent year claimed to find evidence of voting by noncitizens. The conclusion was based largely on a survey several years prior in which approximately 38,000 registered voters were asked both whether they voted and whether they were citizens. A total of 339 of those surveyed reported being noncitizens, and a total of 48 of these people also said they voted. Complete parts (a) through (d) below. Based on the survey, what percentage of noncitizens claim to have voted? One difficulty with any survey is response error, in which, for example, people accidentally check the wrong box. Suppose that the response error rate for this survey was only 0.1%, meaning that 99.9% of those surveyed answered the survey questions accurately. How many people would have answered the citizenship question incorrectly? Assume that the result from part (b) represents citizens who accidentally said they were noncitizens when they were citizens, and that all these people voted. If all other results from this survey were accurate, how would this one set of errors change the number of noncitizens who voted? How large a response error could have accounted for all the noncitizen voting found in the survey? The original survey was repeated two years later, with some (but not all) of the same people asked the same questions about citizenship and voting status that year. There were indeed changes in responses to the citizenship question among those who participated in the survey both times, suggesting response errors. In addition, a total of 85 people claimed to be noncitizens in both surveys, and among these zero reported having voted. How does this result support the claims of those people who say the study was flawed and that, in fact, it offered no evidence of noncitizen voting?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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An American study published in a recent year claimed to find evidence of voting by noncitizens. The conclusion was based largely on a survey several years prior in which approximately 38,000 registered voters were asked both whether they voted and whether they were citizens. A total of 339 of those surveyed reported being noncitizens, and a total of 48 of these people also said they voted. Complete parts (a) through (d) below.

Based on the survey, what percentage of noncitizens claim to have voted?

One difficulty with any survey is response error, in which, for example, people accidentally check the wrong box. Suppose that the response error rate for this survey was only 0.1%, meaning that 99.9% of those surveyed answered the survey questions accurately. How many people would have answered the citizenship question incorrectly?

Assume that the result from part (b) represents citizens who accidentally said they were noncitizens when they were citizens, and that all these people voted. If all other results from this survey were accurate, how would this one set of errors change the number of noncitizens who voted? How large a response error could have accounted for all the noncitizen voting found in the survey?

The original survey was repeated two years later, with some (but not all) of the same people asked the same questions about citizenship and voting status that year. There were indeed changes in responses to the citizenship question among those who participated in the survey both times, suggesting response errors. In addition, a total of 85 people claimed to be noncitizens in both surveys, and among these zero reported having voted. How does this result support the claims of those people who say the study was flawed and that, in fact, it offered no evidence of noncitizen voting?

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