document.write( "Question 281078: About 70% of the students at Fairview Technical College favor a new policy regarding parking on campus. Suppose we are interested in the proportion of 50 students in a matt class who favor the poilcy.
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document.write( "What is the probability that the proportion of the class who favor the poilcy is one-half or more?\r
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document.write( "What is the probability that the proportion of the class who favor the policy is between 60% and 80%?\r
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document.write( "What is the probability that the proportion of the class who favor the policy is less than 60%? \n" );
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Algebra.Com's Answer #204205 by stanbon(75887) ![]() You can put this solution on YOUR website! About 70% of the students at Fairview Technical College favor a new policy regarding parking on campus. Suppose we are interested in the proportion of 50 students in a matt class who favor the poilcy. \n" ); document.write( "--- \n" ); document.write( "Sketch a Normal curve with \"p\" as the label of the horizontal axis. \n" ); document.write( "Put 0.7 on a middle-point of the axis. \n" ); document.write( "Put sqrt(0.7*0.3/50) = 0.0648 under 0.7 so you remember the standard deviation. \n" ); document.write( "------------------------------------------ \n" ); document.write( "What is the probability that the proportion of the class who favor the policy is one-half or more? \n" ); document.write( "z(0.5) = (0.5-0.7)/0.0648 = -3.0864 \n" ); document.write( "P(phat >=0.5)= P(z > -3.0864) = 0.9990 \n" ); document.write( "--------------------------------------------------- \n" ); document.write( "What is the probability that the proportion of the class who favor the policy is between 60% and 80%? \n" ); document.write( "--- \n" ); document.write( "z(0.6) = (0.6-0.7)/0.0648 = -1.5432 \n" ); document.write( "z(0.8) = 1.5432 \n" ); document.write( "P(0.6 < phat <0.8) = P(-1.5432 < z < 1.5432) = 0.8772 \n" ); document.write( "--------------------------------------------------------- \n" ); document.write( "What is the probability that the proportion of the class who favor the policy is less than 60%? \n" ); document.write( "Can you handle this now? \n" ); document.write( "============================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |