document.write( "Question 894907: A manufacturer of a patent medicine claims that it is 90% effective in relieving an allergy for a period of 8 hours. 200 people that had an allergy were sampled and it was found that only 160 people received relief. Is the manufacture's claim legitimate? \r
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document.write( "assume a=0.01 \n" );
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Algebra.Com's Answer #542481 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A manufacturer of a patent medicine claims that it is 90% effective in relieving an allergy for a period of 8 hours. 200 people that had an allergy were sampled and it was found that only 160 people received relief. Is the manufacture's claim legitimate? \n" ); document.write( "Ho: p = 0.9 (claim) \n" ); document.write( "Ha: p < 0.9 \n" ); document.write( "-------- \n" ); document.write( "x-bar = 160/200 = 0.8 \n" ); document.write( "------ \n" ); document.write( "z(0.8) = (0.8-0.9)/sqrt[0.9*0.1/200} = -4.715 \n" ); document.write( "----- \n" ); document.write( "p-value = P(z < -4.715) = 0.00000121... \n" ); document.write( "---- \n" ); document.write( "Since the p-value is less than 1%, reject Ho. \n" ); document.write( "The manufacturer's claim is not supported by the test results. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |