Probability of finding region of alternative

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The Web-based company Oh Baby! Gifts have a goal of processing 95 percent of its orders on the same day they are received. If 485 out of the next 500 orders are processed on the same day, would this prove that they are exceeding their goal, using α = 0.025?

Ho less than greater 0.95
H1 greater 0.95
Z .025 = 1.959
485/500-0.95 /sq root 0.95(1-0.95)/500 + 0.02/0.0308 = 0.6493
P (Z greater than 0.6493) = 0.742

It falls into the region of alternative is accepted greater than .95

Reference no: EM1319746

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