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A polling company conducts an annual poll of adults about political opinions. The survey asked a...

A polling company conducts an annual poll of adults about political opinions. The survey asked a random sample of 314 adults whether they think things in the country are going in the right direction or in the wrong direction. 51% said that things were going in the wrong direction. Calculate the margin of error for the proportion of all adults who think things are going in the wrong direction for 95% confidence. (Use z*=1.96) Round your answer to 4 decimal places.

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