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A researcher wishes to estimate theproportion of X-ray machines that malfunction. Arandom sampleof225machines is taken, and45of the machines in the sample malfunction. Based upon this,

A researcher wishes to estimate theproportion of X-ray machines that malfunction. Arandom sampleof225machines is taken, and45of the machines in the sample malfunction. Based upon this, compute a95

%confidence intervalfor the proportion of all X-ray machines that malfunction. Then find the lower limit and upper limit of the95%

confidence interval.

Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.

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