Question 126646This question is from textbook Apllied Statics
: Please give guidance to this question from the Text Book Chapter 9 9.62. Thank you. The web-based company Oh Baby! Gifts 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 precessed on the same day, would this prove that they are exceeding their goal, using a=.025?
This question is from textbook Apllied Statics
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The web-based company Oh Baby! Gifts 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 precessed on the same day, would this prove that they are exceeding their goal, using a=.025?
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Ho: p = 0.95
Ha: p > 0.95
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alpha = 2.5% ; x=485 ; n=500; p-hat=0.97
Critical value : z = 1.96
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Test Statistic:
z(0.97)=(0.97-0.95)/sqrt[0.95*0.05/500]= 2.051957
p-value =0.020087
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Conclusion: Since p-value < alpha, reject Ho.
The data shows statistical evidence that the goal has been exceeded.
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Cheers,
Stan H.
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