Question 64374:  A researcher wants to determine whether or not the percentage in population A is less than the percentage in population B.  A sample of 161 items from population A had a sample percentage of 20% while a sample of 189 items from population B had a sample percentage of 25%.  If a significance level of .05 is used, which of the following statements is correct?
 
1. left-tailed test with Z = -1.96 
2. left-tailed test with Z = -1.65 
3. left-tailed test with Z = +1.65 
4. right-tailed test with Z = +1.65 
5. left-tailed test with Z = -2.33
 
I figured t-score=1.113, degrees of freedom=348, its a two-tailed test=.2665, from here I am lost. can someone help me please.... 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! A researcher wants to determine whether or not the percentage in population A is less than the percentage in population B. A sample of 161 items from population A had a sample percentage of 20% while a sample of 189 items from population B had a sample percentage of 25%. If a significance level of .05 is used, which of the following statements is correct?  
1. left-tailed test with Z = -1.96 
2. left-tailed test with Z = -1.65 
3. left-tailed test with Z = +1.65 
4. right-tailed test with Z = +1.65 
5. left-tailed test with Z = -2.33  
I figured t-score=1.113, degrees of freedom=348, its a two-tailed test=.2665, from here I am lost.  
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Since the researcher is testing "less than" the test is a left-tail test. 
Since a significance level of 0.05 is stated you want z=-1.65 
ANSWER is # 2 
Cheers, 
Stan H. 
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