SOLUTION: A researcher center claims that at least 47% of adults in a certain country think the government is not aggressive enough in pursuing people who cheat on their taxes. In a random s

Question 1152953: A researcher center claims that at least 47% of adults in a certain country think the government is not aggressive enough in pursuing people who cheat on their taxes. In a random sample of 600 adults from that country. 41% say that the government is not aggressive enough in pursuing people who cheat on their taxes. At a=0.01, is there enough evidence to reject the center's claim?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Ho p=0.47
Ha it doesn't
alpha=0.01
this is a 1 sample proportion
z=(p-phat)/sqrt(p(1-p)/n)
critical value |z|>2.576
z=-0.06/sqrt(0.47*0.53/600)
z=-2.94
reject Ho; sufficient evidence at the 0.01 level to reject it and conclude that the true value is not 47%.
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