Solved: An interesting use of the inclusion/exclusion rule

Chapter 9, Problem 9.117

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An interesting use of the inclusion/exclusion rule is to check survey numbers for consistency. For example, supposeapublicopinionpolltakerreportsthatoutofanational sample of 1,200 adults, 675 are married, 682 are from 20 to 30 years old, 684 are female, 195 are married and are from 20to30yearsold,467aremarriedfemales,318arefemales from 20 to 30 years old, and 165 are married females from 20 to 30 years old. Are the polltakers gures consistent? Could they have occurred as a result of an actual sample survey?

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