document.write( "Question 143220: Do a larger proportion of people own cats live in houses or apts?\r
\n" ); document.write( "\n" ); document.write( " Group 1 Houses Group 2 Apts
\n" ); document.write( "Number who own cats: x1= 833 x2 = 692\r
\n" ); document.write( "\n" ); document.write( "Number Surveyed: n1 = 850 n2 = 740\r
\n" ); document.write( "\n" ); document.write( "I need to perform the five step hypothesis test.
\n" ); document.write( "

Algebra.Com's Answer #104271 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Do a larger proportion of people own cats live in houses or apts?\r
\n" ); document.write( "\n" ); document.write( " Group 1 Houses Group 2 Apts
\n" ); document.write( "Number who own cats: x1= 833 x2 = 692\r
\n" ); document.write( "\n" ); document.write( "Number Surveyed: n1 = 850 n2 = 740\r
\n" ); document.write( "\n" ); document.write( "I need to perform the five step hypothesis test.
\n" ); document.write( "---------------
\n" ); document.write( "Ho: p(house)-P(apts) = 0
\n" ); document.write( "Ha: p(house)-p(apts > 0
\n" ); document.write( "-----------------------------
\n" ); document.write( "phat(house) = 83/850 = 0.98
\n" ); document.write( "phat(apts) = 692/740 = 0.935...
\n" ); document.write( "----------
\n" ); document.write( "Critical value = 1.645
\n" ); document.write( "-----------
\n" ); document.write( "Using a TI-83 2-PropZTest I get the following:
\n" ); document.write( "test statistic: 4.50649
\n" ); document.write( "p-value: 0.0000032984...
\n" ); document.write( "-------------
\n" ); document.write( "Conclusion: Since p-value is less than alpha =5%, reject Ho.
\n" ); document.write( "The proportion of cats in houses is greater than the proportion of cats in apts.
\n" ); document.write( "====================
\n" ); document.write( "Cjeers.
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );