A manufacturer of ballpoint pens wishes to know if a machine designed to fill each individual pen with ink is operating properly. The median amount of ink should be 0.05 oz. Suppose 58 pens are randomly sampled from this particular machine, and none of the pens contains exactly 0.05 oz. Assuming the amount of ink in each pen is symmetrically distributed, conduct a Wilcoxon signed-rank test to see if the median amount of ink differs from 0.05 oz. The sum of positive differences (

*t*_{+}) from the sample is 502. Use a normal approximation and select the correct*p*-value and decision. (Use*α*= 0.05.)▸

*p*= 0.0183, reject*H*_{0}

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*p*= 0.9817, fail to reject*H*_{0}

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*p*= 0.0049, reject*H*_{0}

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*p*= 0.1195, fail to reject*H*_{0}