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A random poll of 800 working men found that 12​% had taken on a second job...

A random poll of 800 working men found that 12​% had taken on a second job to help pay the bills.

​a) Estimate the true percentage of men that are taking on second jobs by constructing a 95​% confidence interval.

​b) A pundit on a TV news show claimed that only 99​% of working men had a second job. Use your confidence interval to test whether his claim is plausible given the poll data.

​a) Construct a 95​% confidence interval for the sample proportion.

The 95​% confidence interval is (___ ​,___ ​).

(Round to three decimal places as​ needed.)

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