Question 191245: Can you please help me solve this problem?
A sample of 200 policemen showed that 65% thought the courts were too lenient, while a sample of 200 lawyers showed that only 45% thought the judges were too lenient. Test the claim that policemen, more often believe, that judges are too lenient on the accused. Use a 0.04 level of significance to test this claim.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A sample of 200 policemen showed that 65% thought the courts were too lenient, while a sample of 200 lawyers showed that only 45% thought the judges were too lenient. Test the claim that policemen, more often believe, that judges are too lenient on the accused. Use a 0.04 level of significance to test this claim.
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Ho: p(police) - p(lawyers) = 0
Ha: p(police) - p(lawyers) > 0 (Claim)
I ran a 2-prop z-test and got the following results:
test statistic z=4.02015
p-value: .00002909..
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Since the p-value is less than 4%, reject Ho.
The test results support the claim.
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Cheers,
Stan H.
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