document.write( "Question 320759: A political strategist claims that 55% of voters in Madison County support his candidate. In a poll of 200 randomly selected voters, 98 of them support the strategist's candidate. At = .05, is the political strategist's claim warranted? \n" ); document.write( "
Algebra.Com's Answer #229678 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A political strategist claims that 55% of voters in Madison County support his candidate. In a poll of 200 randomly selected voters, 98 of them support the strategist's candidate. At = .05, is the political strategist's claim warranted? \n" ); document.write( "---------- \n" ); document.write( "Ho: p = 0.55 (claim) \n" ); document.write( "Ha: p not equal to 0.55 \n" ); document.write( "-------------------------- \n" ); document.write( "sample proportion = 98/200 = 0.49 \n" ); document.write( "----- \n" ); document.write( "z(0.49) = (0.49-0.55)/sqrt[0.55*0.45/200] = -1.7056 \n" ); document.write( "--- \n" ); document.write( "p-value = 2*P(z < -1.7056) = 2*normalcdf(-1000,-1.7056) = 0.0881 \n" ); document.write( "------------------- \n" ); document.write( "Since the p-value is greater than 5%, faill to reject Ho. \n" ); document.write( "The test results support the claim. \n" ); document.write( "====================================== \n" ); document.write( "cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |