document.write( "Question 457487: Let p1 be the proportion of successes in the first population and let p2 be the proportion of successes in the second population. Suppose that you are testing the hypotheses:\r
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document.write( "Ho:p1-p2=0
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document.write( "Ha:p1-p2 does not equal 0\r
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document.write( "Futhermore suppose that Z*=1.73, find and input the p-value for this test. Round your answer to 4 decimal places.\r
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document.write( "This is what I did, but I'm not sure if it is right.\r
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document.write( "This is how I drew my curve (\"////\" means that area is shaded)..\r
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document.write( "/////(-1.73)_______0_______(1.73)//////\r
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document.write( "So.. on TI-83, I did: normalcdf (-9, -1.73) = 0.0418
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document.write( "then I multiplied it by 2 because there are 2 shaded regions: \r
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document.write( "-1.73 --> -infinity
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document.write( "and
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document.write( "1.73 --> infinity\r
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document.write( "So the p-value that I got was: 0.0836 \n" );
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Algebra.Com's Answer #313936 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! I'm assuming that Z* is the test statistic (it could easily be the critical value). Without more information, I cannot verify if that is the correct value for the test statistic (since I would need to know x1, x2, n1, and n2)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Ignoring these little details, if Z* = 1.73 is the test statistic, then you are correct in saying that the p-value is 0.0836\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now if your significance level alpha is 0.01 or 0.05, then you would fail to reject the null hypothesis (since the p value is larger than alpha).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On the other hand, if the significance level alpha is something like 0.1, then you would reject the null hypothesis (since the p-value is smaller than alpha).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the significance level is not stated or given, then assume it to be 0.05 (usually the default significance level in many cases)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Overall, it seems like a lot of info is missing. Please post more info if you can. \n" ); document.write( " |