Question 131114: Please assist me with this question:
A Web-base company has 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 alpha=.025?
Question is not from a book, it's an online course. Thank you in advance
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A Web-base company has 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 alpha=.025?
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Ho: p = 0.95
Ha: p > 0.95
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z(485/500) = (0.97-0.95)/sqrt[0.95*0.05/500] = 2.0519...
p-value= Prob(2.0519
Conclusion: Since p-value is less than alpha=0.025, Reject Ho.
They are exceeding their goal.
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Cheers,
stan H.
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