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In: Statistics and Probability

The national health organization warns that 30% of the middle school students nationwide have been drunk....

The national health organization warns that 30% of the middle school students nationwide have been drunk. A local health agency randomly and anonymously surveys 100 of the middle school students in its city and finds that only 21 of them report having been drunk.

Create a 95% confidence interval for the proportion of the city's middle school students who have been drunk.

Is there any reason to believe that the national level of 30% is not true for the middle school students in the city? Test at 1% significance level.

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