document.write( "Question 127724: The Web-based company Oh Baby! Gifts has a goal of processing 95 percent of its orders on the
\n" ); document.write( "same day they are received. If 485 out of the next 500 orders are processed on the same day, would
\n" ); document.write( "this prove that they are exceeding their goal, using α = .025? (See story.news.yahoo.com accessed
\n" ); document.write( "June 25, 2004.) \n" ); document.write( "
Algebra.Com's Answer #93600 by stanbon(75887)\"\" \"About 
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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 processed on the same day, would this prove that they are exceeding their goal,
\n" ); document.write( "using α = .025?
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\n" ); document.write( "Ho: p = 0.95
\n" ); document.write( "Ha: p > 0.95
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\n" ); document.write( "one-tail z-test with critical value = 1.96;
\n" ); document.write( "alpha = 2.5%; p-hat=485/500=0.97
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\n" ); document.write( "Test Statistic:
\n" ); document.write( "z(0.97) = (0.97-0.95)/sqrt((0.95*0.05)/500)= 2.052
\n" ); document.write( "p-value = 0.0201
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\n" ); document.write( "Conclusion: Reject Ho because the test statistic > critical value; also
\n" ); document.write( "the p-value is < alpha.
\n" ); document.write( "There is significant statistical evidence that p is not 95%.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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