document.write( "Question 301969: For 20 corporations, we found that the correlation coefficient between financial performance and the number of illegal actions detected is -.5. Test the null hypothesis that the population correlation coefficient is equal to zero, against the alternative hypothesis that it is less than zero. Use an alpha of 0.05. It is a _____ hypothesis test.\r
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Algebra.Com's Answer #216538 by stanbon(75887)\"\" \"About 
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For 20 corporations, we found that the correlation coefficient between financial performance and the number of illegal actions detected is -.5. Test the null hypothesis that the population correlation coefficient is equal to zero, against the alternative hypothesis that it is less than zero. Use an alpha of 0.05.
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\n" ); document.write( "\n" ); document.write( "It is a bivariate regression hypothesis test.
\n" ); document.write( "Is this a one tailed or two tailed hypothesis test?
\n" ); document.write( "Ans: left-tail.
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\n" ); document.write( "Ho: rho = 0
\n" ); document.write( "Ha: rho < 0
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\n" ); document.write( "test stat: t = -0.5/[sqrt[(1-(-0.5)^2)/(20-2)) = -2.4495
\n" ); document.write( "p-value: P(t<-2.4495 with df=10) = 0.0121
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\n" ); document.write( "Conclusion: Since the p-value is less that 5%, reject Ho.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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