document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120081>Question 1120081</A>: <I><SPAN STYLE=\"word-break: break-all;\"> #19<BR>\n" );
document.write( "Test the claim that the proportion of people who own cats is larger than 90% at the 0.005 significance level.\r<BR>\n" );
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document.write( "The null and alternative hypothesis would be:\r<BR>\n" );
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document.write( "H0:&#956;&#8805;0.9 and Ha:&#956;<0.9<BR>\n" );
document.write( "or<BR>\n" );
document.write( "H0:p&#8805;0.9 and Ha:p<0.9<BR>\n" );
document.write( "or<BR>\n" );
document.write( "H0:p&#8804;0.9 and Ha:p>0.9<BR>\n" );
document.write( "or<BR>\n" );
document.write( "H0:p=0.9 and Ha:p&#8800;0.9<BR>\n" );
document.write( "or<BR>\n" );
document.write( "H0:&#956;&#8804;0.9 and Ha:&#956;>0.9<BR>\n" );
document.write( "or<BR>\n" );
document.write( "H0:&#956;=0.9 and Ha:&#956;&#8800;0.9\r<BR>\n" );
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document.write( "The test is:<BR>\n" );
document.write( "left-tailed or right-tailed or two-tailed\r<BR>\n" );
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document.write( "Based on a sample of 500 people, 97% owned cats\r<BR>\n" );
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document.write( "The p-value is: (to 2 decimals)\r<BR>\n" );
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document.write( "Based on this we:<BR>\n" );
document.write( " Fail to reject the null hypothesis or Reject the null hypothesis\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #735776 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=735776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a one-tailed test which claims:<BR>\n" );
document.write( "Ho: The percentage is <= 0.9<BR>\n" );
document.write( "Ha: The percentage is > 0.9, so if Ho is rejected, we say the true proportion is >0.9.<BR>\n" );
document.write( "Test statistic is z=(phat-p)/sqrt(p*(1-p)/n)<BR>\n" );
document.write( "Critical value is z>1.645 for alpha of 0.05<BR>\n" );
document.write( "z=0.07/sqrt(0.9*0.01/500)<BR>\n" );
document.write( "z=0.07/0/013=5.22<BR>\n" );
document.write( "Reject Ho <BR>\n" );
document.write( "p-value is 0.00 to two decimal places </SPAN>\n" );
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