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Get Ready for Statistics: Corequisites

Inequalities

Suppose we poll a sample of \(100\) people to find the percent \(P\) of them that will vote for a certain candidate. The results give us these numbers \[\overline{x}=42, z=2.58, \sigma=5,\text{ and } n=100\] The actual percent of the population that will vote for our candidate is given by \[\overline{x}\pm z\cdot\dfrac{\sigma}{\sqrt{n}}\] Substitute the given numbers into the expression, simplify, and then convert the results to an inequality.