document.write( "Question 1170285: Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .025 significance level. The null and alternative hypothesis would be:\r
\n" ); document.write( "\n" ); document.write( "The test is:
\n" ); document.write( "left-tailed
\n" ); document.write( "two-tailed
\n" ); document.write( "right-tailed\r
\n" ); document.write( "\n" ); document.write( "Based on a sample of 80 men, 25% owned cats
\n" ); document.write( "Based on a sample of 40 women, 30% owned cats The test statistic is:
\n" ); document.write( " (to 2 decimals) The critical value is:
\n" ); document.write( " (to 2 decimals) Based on this we:
\n" ); document.write( "Reject the null hypothesis
\n" ); document.write( "Fail to reject the null hypothesis \n" ); document.write( "

Algebra.Com's Answer #795178 by Boreal(15235) $\"\"$ $\"About$

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Ho: p men >= p women
\n" ); document.write( "Ha: p men < p women
\n" ); document.write( "left tailed, because we suspect p men < p women
\n" ); document.write( "men is 20/80 or 0.25
\n" ); document.write( "women is 12/40 or 0.3
\n" ); document.write( "the critical value is z<-1.96
\n" ); document.write( "the numerator is the difference between 0.25 and 0.3 or -0.05
\n" ); document.write( "the denominator is sqrt ((.25.*.75/80)+(.3.*.7/40))=sqrt(0.0075)=0.0868
\n" ); document.write( "z is -0.58.Fail to reject; insufficient evidence to show a difference.\r
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