Many people think that a national lobby's successful fight against gun control legislation is reflecting the will of minority of Americans. A random sample of 4000 citizens yielded 2250 who are in favor or gun control legislation. Estimate the true proportion of all Americans who are in favor of gun control legislation using 90% confidence interval.  Express the answer in the form p +- E and round to the nearest ten-thousandth.  Must show conditioned  are satisfied.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.