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You are on the staff of a member of the U.S. Senate who is considering a bill that would provide government-sponsored insurance for nursing-home care. You report that 1128 letters and emails have been received on the issue, of which 871 (77%) oppose the legislation. "I'm surprised that most of my constituents oppose the bill. I thought it would be quite popular," says the senator. Explain why this sampling method is biased. Is 77% likely greater than or less than the percentage of all the senator's constituents who oppose the legislation?

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DEFINITIONS

A voluntary response sample\textbf{voluntary response sample} is a sample for which the subjects can decide if they want to be in the sample or not.

Convenience sampling\textbf{Convenience sampling} uses a subgroup from the population, that is conveniently chosen.

Random sampling\textbf{Random sampling}: selecting the sample from the population using some change process

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