Question 126646
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.