document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191340>Question 1191340</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Test the claim that the proportion of people who own cats is larger than 50% at the 0.10 significance level. The test is based on a random sample of 100 people, in which 58% of the sample owned cats.\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( "H<BR>\n" );
document.write( "0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "p<BR>\n" );
document.write( "=<BR>\n" );
document.write( "0.5<BR>\n" );
document.write( " <BR>\n" );
document.write( "H<BR>\n" );
document.write( "1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "p<BR>\n" );
document.write( "≠<BR>\n" );
document.write( "0.5<BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "H<BR>\n" );
document.write( "0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "μ<BR>\n" );
document.write( "=<BR>\n" );
document.write( "0.5<BR>\n" );
document.write( " <BR>\n" );
document.write( "H<BR>\n" );
document.write( "1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "μ<BR>\n" );
document.write( "≠<BR>\n" );
document.write( "0.5<BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "H<BR>\n" );
document.write( "0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "μ<BR>\n" );
document.write( "≤<BR>\n" );
document.write( "0.5<BR>\n" );
document.write( " <BR>\n" );
document.write( "H<BR>\n" );
document.write( "1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "μ<BR>\n" );
document.write( "><BR>\n" );
document.write( "0.5<BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "H<BR>\n" );
document.write( "0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "μ<BR>\n" );
document.write( "≥<BR>\n" );
document.write( "0.5<BR>\n" );
document.write( " <BR>\n" );
document.write( "H<BR>\n" );
document.write( "1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "μ<BR>\n" );
document.write( "<<BR>\n" );
document.write( "0.5<BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "H<BR>\n" );
document.write( "0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "p<BR>\n" );
document.write( "≤<BR>\n" );
document.write( "0.5<BR>\n" );
document.write( " <BR>\n" );
document.write( "H<BR>\n" );
document.write( "1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "p<BR>\n" );
document.write( "><BR>\n" );
document.write( "0.5<BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "H<BR>\n" );
document.write( "0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "p<BR>\n" );
document.write( "≥<BR>\n" );
document.write( "0.5<BR>\n" );
document.write( " <BR>\n" );
document.write( "H<BR>\n" );
document.write( "1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "p<BR>\n" );
document.write( "<<BR>\n" );
document.write( "0.5<BR>\n" );
document.write( " \r<BR>\n" );
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document.write( "The test is:<BR>\n" );
document.write( "two-tailed<BR>\n" );
document.write( "left-tailed<BR>\n" );
document.write( "right-tailed\r<BR>\n" );
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document.write( "The p-value is: <BR>\n" );
document.write( " (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<BR>\n" );
document.write( "Reject the null hypothesis </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823159 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52847)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=823159\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "Unreadable in this format.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );