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A statistics professor asked her students whether or not they were registered to vote. In a...

A statistics professor asked her students whether or not they were registered to vote. In a sample of 52 of her students (randomly sampled from 700 students), 34 said they were registered to vote.

1. Find a 95% confidence interval for the true proportion of the professor's students who were registered to vote. (Make sure to check any necessary conditions and to state a conclusion in the context of the problem.)

2. A reader of the results concludes that "I am 95 percent confident that the sample proportion falls between the lower bound and the upper bound of this confidence interval." Is this interpretation correct? Why, or why not?

Please be as detailed and thorough as possible when answering. Thanks!

Math   Statistics-And-Probability   
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