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In a major industry where well over 100,000 manufacturing employees are represented by a single union, a simple random sampling of n 100 union members finds that 57% of those in the sample intend to vote for the new labor contract negotiated by union and management representatives.

a. What is the 99% confidence interval for π = the population proportion of union-represented employees who intend to vote for the labor contract?

b. Based on your response to part (a), does contract approval by the union appear to be a "sure thing"? Why or why not?

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Statistics and Probability, Statistics

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